Search a number
-
+
513344340 = 223254760679
BaseRepresentation
bin11110100110010…
…000001101010100
31022202221121001100
4132212100031110
52022404004330
6122534430100
715502232505
oct3646201524
91282847040
10513344340
11243851223
12123b02330
1382477c62
144c26abac
1530102060
hex1e990354

513344340 has 72 divisors (see below), whose sum is σ = 1590301440. Its totient is φ = 133977024.

The previous prime is 513344339. The next prime is 513344353. The reversal of 513344340 is 43443315.

It is a super-2 number, since 2×5133443402 = 527044822820071200, which contains 22 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 21880 + ... + 38799.

It is an arithmetic number, because the mean of its divisors is an integer number (22087520).

Almost surely, 2513344340 is an apocalyptic number.

It is an amenable number.

513344340 is an abundant number, since it is smaller than the sum of its proper divisors (1076957100).

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

513344340 is a wasteful number, since it uses less digits than its factorization.

513344340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60741 (or 60736 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 513344340 is about 22657.1035218538. The cubic root of 513344340 is about 800.6995651657.

Adding to 513344340 its reverse (43443315), we get a palindrome (556787655).

The spelling of 513344340 in words is "five hundred thirteen million, three hundred forty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 47 60 90 94 141 180 188 235 282 423 470 564 705 846 940 1410 1692 2115 2820 4230 8460 60679 121358 182037 242716 303395 364074 546111 606790 728148 910185 1092222 1213580 1820370 2184444 2730555 2851913 3640740 5461110 5703826 8555739 10922220 11407652 14259565 17111478 25667217 28519130 34222956 42778695 51334434 57038260 85557390 102668868 128336085 171114780 256672170 513344340