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331036992 = 263211134019
BaseRepresentation
bin10011101110110…
…011100101000000
3212001220102101100
4103232303211000
51134221140432
652503134400
711126524266
oct2356634500
9761812340
10331036992
1115a952aa0
1292a44400
1353776aa0
1431d72436
151e0e007c
hex13bb3940

331036992 has 168 divisors, whose sum is σ = 1115019360. Its totient is φ = 92574720.

The previous prime is 331036991. The next prime is 331036997. The reversal of 331036992 is 299630133.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331036991) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80359 + ... + 84377.

It is an arithmetic number, because the mean of its divisors is an integer number (6637020).

Almost surely, 2331036992 is an apocalyptic number.

331036992 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 331036992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557509680).

331036992 is an abundant number, since it is smaller than the sum of its proper divisors (783982368).

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

331036992 is a wasteful number, since it uses less digits than its factorization.

331036992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4061 (or 4048 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 36.

The square root of 331036992 is about 18194.4220023611. The cubic root of 331036992 is about 691.7654099184.

The spelling of 331036992 in words is "three hundred thirty-one million, thirty-six thousand, nine hundred ninety-two".