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3231129072 = 243177950123
BaseRepresentation
bin1100000010010111…
…0001110111110000
322100011221100211010
43000211301313300
523104132112242
61252342150520
7143033100243
oct30045616760
98304840733
103231129072
111408985106
12762122440
133c654a6c2
142291ad25a
1513d9eb89c
hexc0971df0

3231129072 has 80 divisors (see below), whose sum is σ = 8950141440. Its totient is φ = 1000836096.

The previous prime is 3231129071. The next prime is 3231129133. The reversal of 3231129072 is 2709211323.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3231129071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39403 + ... + 89525.

It is an arithmetic number, because the mean of its divisors is an integer number (111876768).

Almost surely, 23231129072 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 3231129072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4475070720).

3231129072 is an abundant number, since it is smaller than the sum of its proper divisors (5719012368).

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

3231129072 is a wasteful number, since it uses less digits than its factorization.

3231129072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50230 (or 50224 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 3231129072 is about 56843.0213130864. The cubic root of 3231129072 is about 1478.3755417165.

The spelling of 3231129072 in words is "three billion, two hundred thirty-one million, one hundred twenty-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 79 102 136 158 204 237 272 316 408 474 632 816 948 1264 1343 1896 2686 3792 4029 5372 8058 10744 16116 21488 32232 50123 64464 100246 150369 200492 300738 400984 601476 801968 852091 1202952 1704182 2405904 2556273 3408364 3959717 5112546 6816728 7919434 10225092 11879151 13633456 15838868 20450184 23758302 31677736 40900368 47516604 63355472 67315189 95033208 134630378 190066416 201945567 269260756 403891134 538521512 807782268 1077043024 1615564536 3231129072