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3373670672 = 24171272769
BaseRepresentation
bin1100100100010110…
…0010000100010000
322201010011020010122
43021011202010100
523402124430142
61314433245412
7146413504361
oct31105420420
98633136118
103373670672
111481392789
127a1a03868
13419c37848
142400b5b68
1514b2a61d2
hexc9162110

3373670672 has 60 divisors (see below), whose sum is σ = 6984982620. Its totient is φ = 1573060608.

The previous prime is 3373670617. The next prime is 3373670683. The reversal of 3373670672 is 2760763733.

It can be written as a sum of positive squares in 2 ways, for example, as 1998447616 + 1375223056 = 44704^2 + 37084^2 .

It is a super-2 number, since 2×33736706722 = 22763307606225863168, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4386704 + ... + 4387472.

It is an arithmetic number, because the mean of its divisors is an integer number (116416377).

Almost surely, 23373670672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3373670672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3492491310).

3373670672 is an abundant number, since it is smaller than the sum of its proper divisors (3611311948).

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

3373670672 is a wasteful number, since it uses less digits than its factorization.

3373670672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1048 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 666792, while the sum is 44.

The square root of 3373670672 is about 58083.3080325148. The cubic root of 3373670672 is about 1499.8030366566.

The spelling of 3373670672 in words is "three billion, three hundred seventy-three million, six hundred seventy thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 17 34 68 127 136 254 272 508 769 1016 1538 2032 2159 3076 4318 6152 8636 12304 13073 16129 17272 26146 32258 34544 52292 64516 97663 104584 129032 195326 209168 258064 274193 390652 548386 781304 1096772 1562608 1660271 2193544 3320542 4387088 6641084 12403201 13282168 24806402 26564336 49612804 99225608 198451216 210854417 421708834 843417668 1686835336 3373670672