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3371525040 = 2435135320389
BaseRepresentation
bin1100100011110101…
…0110001110110000
322200222010012212210
43020331112032300
523401102300130
61314315252120
7146356330032
oct31075261660
98628105783
103371525040
111480157734
127a114a040
13419666040
1423dab7c52
1514aed05b0
hexc8f563b0

3371525040 has 160 divisors (see below), whose sum is σ = 11468640960. Its totient is φ = 814215168.

The previous prime is 3371525039. The next prime is 3371525041. The reversal of 3371525040 is 405251733.

3371525040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3371525039) and next prime (3371525041).

It is a super-2 number, since 2×33715250402 = 22734362190694003200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3371524989 and 3371525007.

It is not an unprimeable number, because it can be changed into a prime (3371525041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 155166 + ... + 175554.

It is an arithmetic number, because the mean of its divisors is an integer number (71679006).

Almost surely, 23371525040 is an apocalyptic number.

3371525040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3371525040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5734320480).

3371525040 is an abundant number, since it is smaller than the sum of its proper divisors (8097115920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3371525040 is a wasteful number, since it uses less digits than its factorization.

3371525040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20471 (or 20465 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 30.

The square root of 3371525040 is about 58064.8347969750. The cubic root of 3371525040 is about 1499.4850143245.

Adding to 3371525040 its reverse (405251733), we get a palindrome (3776776773).

The spelling of 3371525040 in words is "three billion, three hundred seventy-one million, five hundred twenty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 53 60 65 78 80 104 106 120 130 156 159 195 208 212 240 260 265 312 318 390 424 520 530 624 636 689 780 795 848 1040 1060 1272 1378 1560 1590 2067 2120 2544 2756 3120 3180 3445 4134 4240 5512 6360 6890 8268 10335 11024 12720 13780 16536 20389 20670 27560 33072 40778 41340 55120 61167 81556 82680 101945 122334 163112 165360 203890 244668 265057 305835 326224 407780 489336 530114 611670 795171 815560 978672 1060228 1080617 1223340 1325285 1590342 1631120 2120456 2161234 2446680 2650570 3180684 3241851 3975855 4240912 4322468 4893360 5301140 5403085 6361368 6483702 7951710 8644936 10602280 10806170 12722736 12967404 14048021 15903420 16209255 17289872 21204560 21612340 25934808 28096042 31806840 32418510 42144063 43224680 51869616 56192084 63613680 64837020 70240105 84288126 86449360 112384168 129674040 140480210 168576252 210720315 224768336 259348080 280960420 337152504 421440630 561920840 674305008 842881260 1123841680 1685762520 3371525040