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413114364 = 223313294241
BaseRepresentation
bin11000100111111…
…001111111111100
31001210100101101000
4120213321333330
51321224124424
6104554250300
713144262025
oct3047717774
91053311330
10413114364
111a2212a33
12b6426990
1367783890
143cc19c4c
15264043c9
hex189f9ffc

413114364 has 48 divisors (see below), whose sum is σ = 1153428640. Its totient is φ = 127111680.

The previous prime is 413114353. The next prime is 413114369. The reversal of 413114364 is 463411314.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413114369) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145717 + ... + 148524.

Almost surely, 2413114364 is an apocalyptic number.

It is an amenable number.

413114364 is an abundant number, since it is smaller than the sum of its proper divisors (740314276).

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

413114364 is a wasteful number, since it uses less digits than its factorization.

413114364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294267 (or 294259 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 413114364 is about 20325.2149804129. The cubic root of 413114364 is about 744.7721562012.

Adding to 413114364 its reverse (463411314), we get a palindrome (876525678).

The spelling of 413114364 in words is "four hundred thirteen million, one hundred fourteen thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 702 1404 294241 588482 882723 1176964 1765446 2648169 3530892 3825133 5296338 7650266 7944507 10592676 11475399 15300532 15889014 22950798 31778028 34426197 45901596 68852394 103278591 137704788 206557182 413114364