Search a number
-
+
357064097 = 13377310169
BaseRepresentation
bin10101010010000…
…101110110100001
3220212212201212012
4111102011312201
51212402022342
655233042305
711563665125
oct2522056641
9825781765
10357064097
1117360a5a5
129b6b6395
1358c8a640
14355c9585
1521531b82
hex15485da1

357064097 has 16 divisors (see below), whose sum is σ = 400372560. Its totient is φ = 316265472.

The previous prime is 357064079. The next prime is 357064109. The reversal of 357064097 is 790460753.

It can be written as a sum of positive squares in 8 ways, for example, as 37405456 + 319658641 = 6116^2 + 17879^2 .

It is a cyclic number.

It is not a de Polignac number, because 357064097 - 26 = 357064033 is a prime.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (357064597) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 30029 + ... + 40197.

It is an arithmetic number, because the mean of its divisors is an integer number (25023285).

Almost surely, 2357064097 is an apocalyptic number.

357064097 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

It is an amenable number.

357064097 is a deficient number, since it is larger than the sum of its proper divisors (43308463).

357064097 is a wasteful number, since it uses less digits than its factorization.

357064097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10292.

The product of its (nonzero) digits is 158760, while the sum is 41.

The square root of 357064097 is about 18896.1397380523. The cubic root of 357064097 is about 709.4395477940.

The spelling of 357064097 in words is "three hundred fifty-seven million, sixty-four thousand, ninety-seven".

Divisors: 1 13 37 73 481 949 2701 10169 35113 132197 376253 742337 4891289 9650381 27466469 357064097