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3367049040 = 243351558819
BaseRepresentation
bin1100100010110001…
…0001011101010000
322200122200210222000
43020230101131100
523343431032130
61314035314000
7146303305335
oct31054213520
98618623860
103367049040
11147867a863
1279b74b900
13418759914
1423d27098c
1514a8e9260
hexc8b11750

3367049040 has 80 divisors (see below), whose sum is σ = 11597620800. Its totient is φ = 897879168.

The previous prime is 3367049029. The next prime is 3367049041. The reversal of 3367049040 is 409407633.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×33670490402 = 22674038475529843200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3367048986 and 3367049004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3367049041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 777250 + ... + 781569.

It is an arithmetic number, because the mean of its divisors is an integer number (144970260).

Almost surely, 23367049040 is an apocalyptic number.

3367049040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3367049040 is an abundant number, since it is smaller than the sum of its proper divisors (8230571760).

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

3367049040 is a wasteful number, since it uses less digits than its factorization.

3367049040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1558841 (or 1558829 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 3367049040 is about 58026.2788743169. The cubic root of 3367049040 is about 1498.8211537904.

It can be divided in two parts, 336704 and 9040, that added together give a square (345744 = 5882).

The spelling of 3367049040 in words is "three billion, three hundred sixty-seven million, forty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 1558819 3117638 4676457 6235276 7794095 9352914 12470552 14029371 15588190 18705828 23382285 24941104 28058742 31176380 37411656 42088113 46764570 56117484 62352760 70146855 74823312 84176226 93529140 112234968 124705520 140293710 168352452 187058280 210440565 224469936 280587420 336704904 374116560 420881130 561174840 673409808 841762260 1122349680 1683524520 3367049040