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513938034 = 2344177377
BaseRepresentation
bin11110101000100…
…001001001110010
31022211001202110000
4132220201021302
52023032004114
6122555250430
715510254421
oct3650411162
91284052400
10513938034
11244117285
12124149a16
138262525c
144c3832b8
15301bce09
hex1ea21272

513938034 has 40 divisors (see below), whose sum is σ = 1179704988. Its totient is φ = 167132160.

The previous prime is 513938027. The next prime is 513938071. The reversal of 513938034 is 430839315.

It can be written as a sum of positive squares in 2 ways, for example, as 453051225 + 60886809 = 21285^2 + 7803^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 513938034.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 32047 + ... + 45330.

Almost surely, 2513938034 is an apocalyptic number.

513938034 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

513938034 is an abundant number, since it is smaller than the sum of its proper divisors (665766954).

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

513938034 is a wasteful number, since it uses less digits than its factorization.

513938034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77432 (or 77423 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 513938034 is about 22670.2014547732. The cubic root of 513938034 is about 801.0081217878.

The spelling of 513938034 in words is "five hundred thirteen million, nine hundred thirty-eight thousand, thirty-four".

Divisors: 1 2 3 6 9 18 27 41 54 81 82 123 162 246 369 738 1107 2214 3321 6642 77377 154754 232131 464262 696393 1392786 2089179 3172457 4178358 6267537 6344914 9517371 12535074 19034742 28552113 57104226 85656339 171312678 256969017 513938034