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350232960 = 273571123103
BaseRepresentation
bin10100111000000…
…010000110000000
3220102000200022010
4110320002012000
51204124423320
654430412520
711451634230
oct2470020600
9812020263
10350232960
1116a774230
1299361140
135773824c
143472bcc0
1520b32ae0
hex14e02180

350232960 has 512 divisors, whose sum is σ = 1466449920. Its totient is φ = 68935680.

The previous prime is 350232943. The next prime is 350232973. The reversal of 350232960 is 69232053.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3400269 + ... + 3400371.

It is an arithmetic number, because the mean of its divisors is an integer number (2864160).

Almost surely, 2350232960 is an apocalyptic number.

350232960 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 350232960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733224960).

350232960 is an abundant number, since it is smaller than the sum of its proper divisors (1116216960).

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

350232960 is a wasteful number, since it uses less digits than its factorization.

350232960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 30.

The square root of 350232960 is about 18714.5120160799. The cubic root of 350232960 is about 704.8861945970.

The spelling of 350232960 in words is "three hundred fifty million, two hundred thirty-two thousand, nine hundred sixty".