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3310041420 = 2232573118447
BaseRepresentation
bin1100010101001011…
…0011100101001100
322112200102112012200
43011102303211030
523234332311140
61304241401500
7145011613350
oct30522634514
98480375180
103310041420
111449483124
12784639290
134099b99ba
14235871460
151458d8030
hexc54b394c

3310041420 has 144 divisors (see below), whose sum is σ = 11513069568. Its totient is φ = 754058880.

The previous prime is 3310041379. The next prime is 3310041421. The reversal of 3310041420 is 241400133.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3310041393 and 3310041402.

It is not an unprimeable number, because it can be changed into a prime (3310041421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 387637 + ... + 396083.

It is an arithmetic number, because the mean of its divisors is an integer number (79951872).

Almost surely, 23310041420 is an apocalyptic number.

3310041420 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 3310041420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5756534784).

3310041420 is an abundant number, since it is smaller than the sum of its proper divisors (8203028148).

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

3310041420 is a wasteful number, since it uses less digits than its factorization.

3310041420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8780 (or 8775 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3310041420 is about 57532.9594232732. The cubic root of 3310041420 is about 1490.3140968084.

Adding to 3310041420 its reverse (241400133), we get a palindrome (3551441553).

The spelling of 3310041420 in words is "three billion, three hundred ten million, forty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 311 315 420 622 630 933 1244 1260 1555 1866 2177 2799 3110 3732 4354 4665 5598 6220 6531 8447 8708 9330 10885 11196 13062 13995 16894 18660 19593 21770 25341 26124 27990 32655 33788 39186 42235 43540 50682 55980 59129 65310 76023 78372 84470 97965 101364 118258 126705 130620 152046 168940 177387 195930 236516 253410 295645 304092 354774 380115 391860 506820 532161 591290 709548 760230 886935 1064322 1182580 1520460 1773870 2128644 2627017 2660805 3547740 5254034 5321610 7881051 10508068 10643220 13135085 15762102 18389119 23643153 26270170 31524204 36778238 39405255 47286306 52540340 55167357 73556476 78810510 91945595 94572612 110334714 118215765 157621020 165502071 183891190 220669428 236431530 275836785 331004142 367782380 472863060 551673570 662008284 827510355 1103347140 1655020710 3310041420