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357242112 = 2832473299
BaseRepresentation
bin10101010010110…
…001010100000000
3220220012210001100
4111102301110000
51212423221422
655240534400
711565336123
oct2522612400
9826183040
10357242112
11173721317
129b781400
1359020686
14356343ba
15215697ac
hex154b1500

357242112 has 108 divisors (see below), whose sum is σ = 1052251200. Its totient is φ = 116511744.

The previous prime is 357242111. The next prime is 357242113. The reversal of 357242112 is 211242753.

It is an interprime number because it is at equal distance from previous prime (357242111) and next prime (357242113).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (357242111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 106639 + ... + 109937.

Almost surely, 2357242112 is an apocalyptic number.

357242112 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 357242112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526125600).

357242112 is an abundant number, since it is smaller than the sum of its proper divisors (695009088).

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

357242112 is a wasteful number, since it uses less digits than its factorization.

357242112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3368 (or 3351 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 357242112 is about 18900.8495047180. The cubic root of 357242112 is about 709.5574256955.

Adding to 357242112 its reverse (211242753), we get a palindrome (568484865).

The spelling of 357242112 in words is "three hundred fifty-seven million, two hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 64 72 94 96 128 141 144 188 192 256 282 288 376 384 423 564 576 752 768 846 1128 1152 1504 1692 2256 2304 3008 3299 3384 4512 6016 6598 6768 9024 9897 12032 13196 13536 18048 19794 26392 27072 29691 36096 39588 52784 54144 59382 79176 105568 108288 118764 155053 158352 211136 237528 310106 316704 422272 465159 475056 620212 633408 844544 930318 950112 1240424 1266816 1395477 1860636 1900224 2480848 2533632 2790954 3721272 3800448 4961696 5581908 7442544 7600896 9923392 11163816 14885088 19846784 22327632 29770176 39693568 44655264 59540352 89310528 119080704 178621056 357242112