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332775960 = 2335112397113
BaseRepresentation
bin10011110101011…
…100001000011000
3212012011202210120
4103311130020120
51140142312320
653004313240
711150356206
oct2365341030
9765152716
10332775960
11160930560
1293542820
1353c3546a
14322a6076
151e335440
hex13d5c218

332775960 has 256 divisors, whose sum is σ = 1158312960. Its totient is φ = 75694080.

The previous prime is 332775943. The next prime is 332775997. The reversal of 332775960 is 69577233.

It is a happy number.

It is a super-2 number, since 2×3327759602 = 221479679107843200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

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 63 ways as a sum of consecutive naturals, for example, 2944864 + ... + 2944976.

It is an arithmetic number, because the mean of its divisors is an integer number (4524660).

Almost surely, 2332775960 is an apocalyptic number.

332775960 is a gapful number since it is divisible by the number (30) 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 332775960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579156480).

332775960 is an abundant number, since it is smaller than the sum of its proper divisors (825537000).

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

332775960 is a wasteful number, since it uses less digits than its factorization.

332775960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 42.

The square root of 332775960 is about 18242.1478998500. The cubic root of 332775960 is about 692.9745976625.

The spelling of 332775960 in words is "three hundred thirty-two million, seven hundred seventy-five thousand, nine hundred sixty".