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331706112 = 283521829
BaseRepresentation
bin10011110001010…
…110111100000000
3212010011102020120
4103301112330000
51134404043422
652525340240
711135312133
oct2361267400
9763142216
10331706112
1116026a791
1293107680
135394c50a
14320a821a
151e1c345c
hex13c56f00

331706112 has 72 divisors (see below), whose sum is σ = 885583440. Its totient is φ = 110223360.

The previous prime is 331706101. The next prime is 331706129. The reversal of 331706112 is 211607133.

It is a super-2 number, since 2×3317061122 = 220057889476313088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 399714 + ... + 400542.

It is an arithmetic number, because the mean of its divisors is an integer number (12299770).

Almost surely, 2331706112 is an apocalyptic number.

331706112 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 331706112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442791720).

331706112 is an abundant number, since it is smaller than the sum of its proper divisors (553877328).

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

331706112 is an equidigital number, since it uses as much as digits as its factorization.

331706112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1369 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 331706112 is about 18212.8007730827. The cubic root of 331706112 is about 692.2311811818.

The spelling of 331706112 in words is "three hundred thirty-one million, seven hundred six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 521 768 829 1042 1563 1658 2084 2487 3126 3316 4168 4974 6252 6632 8336 9948 12504 13264 16672 19896 25008 26528 33344 39792 50016 53056 66688 79584 100032 106112 133376 159168 200064 212224 318336 400128 431909 636672 863818 1295727 1727636 2591454 3455272 5182908 6910544 10365816 13821088 20731632 27642176 41463264 55284352 82926528 110568704 165853056 331706112