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413414432 = 2517759953
BaseRepresentation
bin11000101001000…
…011010000100000
31001210220121222122
4120221003100200
51321313230212
6105004523412
713146651614
oct3051032040
91053817878
10413414432
111a23a8422
12b6550568
136785a332
143cc97344
1526463272
hex18a43420

413414432 has 24 divisors (see below), whose sum is σ = 861787836. Its totient is φ = 194547712.

The previous prime is 413414429. The next prime is 413414461. The reversal of 413414432 is 234414314.

It can be written as a sum of positive squares in 2 ways, for example, as 411116176 + 2298256 = 20276^2 + 1516^2 .

It is a super-2 number, since 2×4134144322 = 341822985171765248, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 379433 + ... + 380520.

Almost surely, 2413414432 is an apocalyptic number.

It is an amenable number.

413414432 is an abundant number, since it is smaller than the sum of its proper divisors (448373404).

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

413414432 is a wasteful number, since it uses less digits than its factorization.

413414432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759980 (or 759972 counting only the distinct ones).

The product of its digits is 4608, while the sum is 26.

The square root of 413414432 is about 20332.5953090106. The cubic root of 413414432 is about 744.9524357424.

Adding to 413414432 its reverse (234414314), we get a palindrome (647828746).

The spelling of 413414432 in words is "four hundred thirteen million, four hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 759953 1519906 3039812 6079624 12159248 12919201 24318496 25838402 51676804 103353608 206707216 413414432