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331032144 = 24311361031
BaseRepresentation
bin10011101110110…
…010011001010000
3212001220011201210
4103232302121100
51134221012034
652503100120
711126504202
oct2356623120
9761804653
10331032144
1115a94a393
1292a41640
1353774811
1431d70772
151e0dd8e9
hex13bb2650

331032144 has 40 divisors (see below), whose sum is σ = 862748352. Its totient is φ = 109365760.

The previous prime is 331032133. The next prime is 331032157. The reversal of 331032144 is 441230133.

331032144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3310321442 = 219164560722473472, which contains 22 as substring.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 331032144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25092 + ... + 35939.

Almost surely, 2331032144 is an apocalyptic number.

It is an amenable number.

331032144 is an abundant number, since it is smaller than the sum of its proper divisors (531716208).

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

331032144 is a wasteful number, since it uses less digits than its factorization.

331032144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61155 (or 61149 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 331032144 is about 18194.2887742280. The cubic root of 331032144 is about 691.7620329593.

Adding to 331032144 its reverse (441230133), we get a palindrome (772262277).

The spelling of 331032144 in words is "three hundred thirty-one million, thirty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 113 226 339 452 678 904 1356 1808 2712 5424 61031 122062 183093 244124 366186 488248 732372 976496 1464744 2929488 6896503 13793006 20689509 27586012 41379018 55172024 82758036 110344048 165516072 331032144