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357057690 = 2351121931167
BaseRepresentation
bin10101010010000…
…100010010011010
3220212212102001220
4111102010102122
51212401321230
655232552510
711563640343
oct2522042232
9825772056
10357057690
11173605800
129b6b2736
1358c87752
14355c70ca
152152ed10
hex1548449a

357057690 has 192 divisors, whose sum is σ = 1029611520. Its totient is φ = 78883200.

The previous prime is 357057689. The next prime is 357057713. The reversal of 357057690 is 96750753.

It is a super-2 number, since 2×3570576902 = 254980387976272200, 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 (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2137987 + ... + 2138153.

It is an arithmetic number, because the mean of its divisors is an integer number (5362560).

Almost surely, 2357057690 is an apocalyptic number.

357057690 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 357057690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514805760).

357057690 is an abundant number, since it is smaller than the sum of its proper divisors (672553830).

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

357057690 is a wasteful number, since it uses less digits than its factorization.

357057690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 198450, while the sum is 42.

The square root of 357057690 is about 18895.9702053110. The cubic root of 357057690 is about 709.4353044789.

The spelling of 357057690 in words is "three hundred fifty-seven million, fifty-seven thousand, six hundred ninety".