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413345736 = 233219133001
BaseRepresentation
bin11000101000110…
…010011111001000
31001210210010202100
4120220302133020
51321304030421
6105003233400
713146244416
oct3050623710
91053703670
10413345736
111a2360851
12b6518860
1367834c9b
143cc7a2b6
152644cc26
hex18a327c8

413345736 has 48 divisors (see below), whose sum is σ = 1120436460. Its totient is φ = 137664000.

The previous prime is 413345711. The next prime is 413345749. The reversal of 413345736 is 637543314.

It can be written as a sum of positive squares in 2 ways, for example, as 392277636 + 21068100 = 19806^2 + 4590^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 413345736.

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 11 ways as a sum of consecutive naturals, for example, 136236 + ... + 139236.

Almost surely, 2413345736 is an apocalyptic number.

It is an amenable number.

413345736 is an abundant number, since it is smaller than the sum of its proper divisors (707090724).

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

413345736 is a wasteful number, since it uses less digits than its factorization.

413345736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4926 (or 4919 counting only the distinct ones).

The product of its digits is 90720, while the sum is 36.

The square root of 413345736 is about 20330.9059316106. The cubic root of 413345736 is about 744.9111711877.

The spelling of 413345736 in words is "four hundred thirteen million, three hundred forty-five thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1913 3001 3826 5739 6002 7652 9003 11478 12004 15304 17217 18006 22956 24008 27009 34434 36012 45912 54018 68868 72024 108036 137736 216072 5740913 11481826 17222739 22963652 34445478 45927304 51668217 68890956 103336434 137781912 206672868 413345736