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356312034 = 23413891901
BaseRepresentation
bin10101001111001…
…110001111100010
3220211110112020000
4111033032033202
51212203441114
655205000430
711554413411
oct2517161742
9824415200
10356312034
11173146561
129b3b3116
1358a86230
1435471478
1521433e09
hex153ce3e2

356312034 has 80 divisors (see below), whose sum is σ = 869936760. Its totient is φ = 108345600.

The previous prime is 356312023. The next prime is 356312059. The reversal of 356312034 is 430213653.

It is a happy number.

356312034 is a `hidden beast` number, since 3 + 5 + 631 + 20 + 3 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 103978809 + 252333225 = 10197^2 + 15885^2 .

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 356311989 and 356312007.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 186484 + ... + 188384.

Almost surely, 2356312034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 356312034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434968380).

356312034 is an abundant number, since it is smaller than the sum of its proper divisors (513624726).

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

356312034 is a wasteful number, since it uses less digits than its factorization.

356312034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2017 (or 2008 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 356312034 is about 18876.2293374498. The cubic root of 356312034 is about 708.9411141624.

Adding to 356312034 its reverse (430213653), we get a palindrome (786525687).

The spelling of 356312034 in words is "three hundred fifty-six million, three hundred twelve thousand, thirty-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 89 117 162 178 234 267 351 534 702 801 1053 1157 1602 1901 2106 2314 2403 3471 3802 4806 5703 6942 7209 10413 11406 14418 17109 20826 24713 31239 34218 49426 51327 62478 74139 93717 102654 148278 153981 169189 187434 222417 307962 338378 444834 507567 667251 1015134 1334502 1522701 2001753 2199457 3045402 4003506 4398914 4568103 6598371 9136206 13196742 13704309 19795113 27408618 39590226 59385339 118770678 178156017 356312034