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356190129 = 382332
BaseRepresentation
bin10101001110110…
…000011110110001
3220211020100000000
4111032300132301
51212141041004
655202220213
711553365121
oct2516603661
9824210000
10356190129
11173072a09
129b354669
1358a428b9
143543cc81
152140cc39
hex153b07b1

356190129 has 27 divisors (see below), whose sum is σ = 536560843. Its totient is φ = 236440944.

The previous prime is 356190127. The next prime is 356190181. The reversal of 356190129 is 921091653.

The square root of 356190129 is 18873.

It is a perfect power (a square), and thus also a powerful number.

356190129 is a `hidden beast` number, since 3 + 561 + 90 + 1 + 2 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 72335025 + 283855104 = 8505^2 + 16848^2 .

It is a tau number, because it is divible by the number of its divisors (27).

It is not a de Polignac number, because 356190129 - 21 = 356190127 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 356190093 and 356190102.

It is not an unprimeable number, because it can be changed into a prime (356190127) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1528597 + ... + 1528829.

Almost surely, 2356190129 is an apocalyptic number.

356190129 is the 18873-rd square number.

356190129 is the 9437-th centered octagonal number.

It is an amenable number.

356190129 is a deficient number, since it is larger than the sum of its proper divisors (180370714).

356190129 is an frugal number, since it uses more digits than its factorization.

356190129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The cubic root of 356190129 is about 708.8602549564.

Multiplying 356190129 by its sum of digits (36), we get a square (12822844644 = 1132382).

The spelling of 356190129 in words is "three hundred fifty-six million, one hundred ninety thousand, one hundred twenty-nine".

Divisors: 1 3 9 27 81 233 243 699 729 2097 2187 6291 6561 18873 54289 56619 162867 169857 488601 509571 1465803 1528713 4397409 13192227 39576681 118730043 356190129