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831274920 = 233357313547
BaseRepresentation
bin110001100011000…
…011111110101000
32010221012010211000
4301203003332220
53200301244140
6214253035000
726412502020
oct6143037650
92127163730
10831274920
11397262173
121b2485a60
131032b3268
147c58aa80
154cea3a30
hex318c3fa8

831274920 has 256 divisors, whose sum is σ = 3269836800. Its totient is φ = 183824640.

The previous prime is 831274919. The next prime is 831274931. The reversal of 831274920 is 29472138.

831274920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 232587 + ... + 236133.

It is an arithmetic number, because the mean of its divisors is an integer number (12772800).

Almost surely, 2831274920 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 831274920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1634918400).

831274920 is an abundant number, since it is smaller than the sum of its proper divisors (2438561880).

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

831274920 is a wasteful number, since it uses less digits than its factorization.

831274920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3605 (or 3595 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 831274920 is about 28831.8386510469. The cubic root of 831274920 is about 940.2605736035.

The spelling of 831274920 in words is "eight hundred thirty-one million, two hundred seventy-four thousand, nine hundred twenty".