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3734076672 = 2834180077
BaseRepresentation
bin1101111010010001…
…0111110100000000
3100122020022202020000
43132210113310000
530121410423142
61414310120000
7161351061624
oct33644276400
910566282200
103734076672
111646875087
12882650000
134767c5331
14275cd1184
1516cc4814c
hexde917d00

3734076672 has 90 divisors (see below), whose sum is σ = 11134402818. Its totient is φ = 1244685312.

The previous prime is 3734076653. The next prime is 3734076683. The reversal of 3734076672 is 2766704373.

It can be written as a sum of positive squares in only one way, i.e., 2854123776 + 879952896 = 53424^2 + 29664^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 69303 + ... + 110774.

Almost surely, 23734076672 is an apocalyptic number.

3734076672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3734076672 is an abundant number, since it is smaller than the sum of its proper divisors (7400326146).

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

3734076672 is an equidigital number, since it uses as much as digits as its factorization.

3734076672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180105 (or 180082 counting only the distinct ones).

The product of its (nonzero) digits is 889056, while the sum is 45.

The square root of 3734076672 is about 61107.0918306542. The cubic root of 3734076672 is about 1551.4141339188.

The spelling of 3734076672 in words is "three billion, seven hundred thirty-four million, seventy-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 3456 5184 6912 10368 20736 180077 360154 540231 720308 1080462 1440616 1620693 2160924 2881232 3241386 4321848 4862079 5762464 6482772 8643696 9724158 11524928 12965544 14586237 17287392 19448316 23049856 25931088 29172474 34574784 38896632 46099712 51862176 58344948 69149568 77793264 103724352 116689896 138299136 155586528 207448704 233379792 311173056 414897408 466759584 622346112 933519168 1244692224 1867038336 3734076672