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413361104 = 24131987313
BaseRepresentation
bin11000101000110…
…110001111010000
31001210210220211112
4120220312033100
51321310023404
6105003432452
713146340262
oct3050661720
91053726745
10413361104
111a2371352
12b6525728
136783bc90
143cc81b32
152645256e
hex18a363d0

413361104 has 20 divisors (see below), whose sum is σ = 862494276. Its totient is φ = 190781952.

The previous prime is 413361097. The next prime is 413361133. The reversal of 413361104 is 401163314.

It can be written as a sum of positive squares in 2 ways, for example, as 147671104 + 265690000 = 12152^2 + 16300^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 413361104.

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 3 ways as a sum of consecutive naturals, for example, 993449 + ... + 993864.

Almost surely, 2413361104 is an apocalyptic number.

It is an amenable number.

413361104 is an abundant number, since it is smaller than the sum of its proper divisors (449133172).

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

413361104 is a wasteful number, since it uses less digits than its factorization.

413361104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1987334 (or 1987328 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 413361104 is about 20331.2838748565. The cubic root of 413361104 is about 744.9204028889.

The spelling of 413361104 in words is "four hundred thirteen million, three hundred sixty-one thousand, one hundred four".

Divisors: 1 2 4 8 13 16 26 52 104 208 1987313 3974626 7949252 15898504 25835069 31797008 51670138 103340276 206680552 413361104