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331042992 = 24371138719
BaseRepresentation
bin10011101110110…
…101000010110000
3212001220201121120
4103232311002300
51134221333432
652503222240
711126550630
oct2356650260
9761821546
10331042992
1115a957555
1292a47980
1353779737
1431d746c0
151e0e1c2c
hex13bb50b0

331042992 has 80 divisors (see below), whose sum is σ = 986127360. Its totient is φ = 93735936.

The previous prime is 331042991. The next prime is 331042993. The reversal of 331042992 is 299240133.

It is an interprime number because it is at equal distance from previous prime (331042991) and next prime (331042993).

It is not an unprimeable number, because it can be changed into a prime (331042991) 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, 33609 + ... + 42327.

It is an arithmetic number, because the mean of its divisors is an integer number (12326592).

Almost surely, 2331042992 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 331042992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493063680).

331042992 is an abundant number, since it is smaller than the sum of its proper divisors (655084368).

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

331042992 is a wasteful number, since it uses less digits than its factorization.

331042992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8850 (or 8844 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 331042992 is about 18194.5868873135. The cubic root of 331042992 is about 691.7695892774.

The spelling of 331042992 in words is "three hundred thirty-one million, forty-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 113 168 226 336 339 452 678 791 904 1356 1582 1808 2373 2712 3164 4746 5424 6328 8719 9492 12656 17438 18984 26157 34876 37968 52314 61033 69752 104628 122066 139504 183099 209256 244132 366198 418512 488264 732396 976528 985247 1464792 1970494 2929584 2955741 3940988 5911482 6896729 7881976 11822964 13793458 15763952 20690187 23645928 27586916 41380374 47291856 55173832 82760748 110347664 165521496 331042992