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3702470112 = 2532111961511
BaseRepresentation
bin1101110010101111…
…0011010111100000
3100120000211222011200
43130223303113200
530040313020422
61411220441200
7160515322335
oct33453632740
910500758150
103702470112
11162aa47660
12873b49200
134700aa023
14271a2498c
1516a0a32ac
hexdcaf35e0

3702470112 has 144 divisors (see below), whose sum is σ = 12090798720. Its totient is φ = 1062892800.

The previous prime is 3702470111. The next prime is 3702470117. The reversal of 3702470112 is 2110742073.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3702470111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29437 + ... + 90947.

It is an arithmetic number, because the mean of its divisors is an integer number (83963880).

Almost surely, 23702470112 is an apocalyptic number.

3702470112 is a gapful number since it is divisible by the number (32) 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 3702470112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6045399360).

3702470112 is an abundant number, since it is smaller than the sum of its proper divisors (8388328608).

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

3702470112 is a wasteful number, since it uses less digits than its factorization.

3702470112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61557 (or 61546 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 3702470112 is about 60847.9261109202. The cubic root of 3702470112 is about 1547.0244840321.

The spelling of 3702470112 in words is "three billion, seven hundred two million, four hundred seventy thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 19 22 24 32 33 36 38 44 48 57 66 72 76 88 96 99 114 132 144 152 171 176 198 209 228 264 288 304 342 352 396 418 456 528 608 627 684 792 836 912 1056 1254 1368 1584 1672 1824 1881 2508 2736 3168 3344 3762 5016 5472 6688 7524 10032 15048 20064 30096 60192 61511 123022 184533 246044 369066 492088 553599 676621 738132 984176 1107198 1168709 1353242 1476264 1968352 2029863 2214396 2337418 2706484 2952528 3506127 4059726 4428792 4674836 5412968 5905056 6089589 7012254 8119452 8857584 9349672 10518381 10825936 12179178 12855799 14024508 16238904 17715168 18699344 21036762 21651872 24358356 25711598 28049016 32477808 37398688 38567397 42073524 48716712 51423196 56098032 64955616 77134794 84147048 97433424 102846392 112196064 115702191 154269588 168294096 194866848 205692784 231404382 308539176 336588192 411385568 462808764 617078352 925617528 1234156704 1851235056 3702470112