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350355132 = 22342833821
BaseRepresentation
bin10100111000011…
…111111010111100
3220102020212220000
4110320133322330
51204142331012
654433154300
711452653351
oct2470377274
9812225800
10350355132
1116a847aa6
12993bb990
135777ba3a
1434760628
1520b58ddc
hex14e1febc

350355132 has 60 divisors (see below), whose sum is σ = 919374456. Its totient is φ = 116341920.

The previous prime is 350355121. The next prime is 350355151. The reversal of 350355132 is 231553053.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 350355096 and 350355105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 89782 + ... + 93602.

Almost surely, 2350355132 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 350355132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459687228).

350355132 is an abundant number, since it is smaller than the sum of its proper divisors (569019324).

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

350355132 is a wasteful number, since it uses less digits than its factorization.

350355132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4120 (or 4109 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 27.

The square root of 350355132 is about 18717.7758294088. The cubic root of 350355132 is about 704.9681470443.

The spelling of 350355132 in words is "three hundred fifty million, three hundred fifty-five thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 283 324 566 849 1132 1698 2547 3396 3821 5094 7641 7642 10188 11463 15282 15284 22923 22926 30564 34389 45846 45852 68778 91692 103167 137556 206334 309501 412668 619002 1081343 1238004 2162686 3244029 4325372 6488058 9732087 12976116 19464174 29196261 38928348 58392522 87588783 116785044 175177566 350355132