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3073670432 = 257219103171
BaseRepresentation
bin1011011100110100…
…0111110100100000
321221012122122011122
42313031013310200
522243324423212
61224555231412
7136111524200
oct26715076440
97835578148
103073670432
1113380090a8
12719448568
1339ca39901
14212302400
1512ec97272
hexb7347d20

3073670432 has 72 divisors (see below), whose sum is σ = 7409813040. Its totient is φ = 1247944320.

The previous prime is 3073670419. The next prime is 3073670461. The reversal of 3073670432 is 2340763703.

3073670432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3073670392 and 3073670401.

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, 21794 + ... + 81377.

It is an arithmetic number, because the mean of its divisors is an integer number (102914070).

Almost surely, 23073670432 is an apocalyptic number.

3073670432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3073670432 is an abundant number, since it is smaller than the sum of its proper divisors (4336142608).

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

3073670432 is a wasteful number, since it uses less digits than its factorization.

3073670432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103214 (or 103199 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 35.

The square root of 3073670432 is about 55440.6929249626. The cubic root of 3073670432 is about 1453.9599140556.

The spelling of 3073670432 in words is "three billion, seventy-three million, six hundred seventy thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 49 56 76 98 112 133 152 196 224 266 304 392 532 608 784 931 1064 1568 1862 2128 3724 4256 7448 14896 29792 103171 206342 412684 722197 825368 1444394 1650736 1960249 2888788 3301472 3920498 5055379 5777576 7840996 10110758 11555152 13721743 15681992 20221516 23110304 27443486 31363984 40443032 54886972 62727968 80886064 96052201 109773944 161772128 192104402 219547888 384208804 439095776 768417608 1536835216 3073670432