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404251331 = 1161602461
BaseRepresentation
bin11000000110000…
…110001011000011
31001011200002120112
4120012012023003
51311442020311
6104040301535
713006036211
oct3006061303
91034602515
10404251331
1119820a010
12b34718ab
136599c693
143b98dcb1
152575328b
hex181862c3

404251331 has 8 divisors (see below), whose sum is σ = 448231728. Its totient is φ = 361476000.

The previous prime is 404251321. The next prime is 404251333. The reversal of 404251331 is 133152404.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-404251331 is a prime.

It is a super-2 number, since 2×4042513312 = 326838277230543122, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 404251297 and 404251306.

It is not an unprimeable number, because it can be changed into a prime (404251333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 300560 + ... + 301901.

It is an arithmetic number, because the mean of its divisors is an integer number (56028966).

Almost surely, 2404251331 is an apocalyptic number.

404251331 is a deficient number, since it is larger than the sum of its proper divisors (43980397).

404251331 is a wasteful number, since it uses less digits than its factorization.

404251331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602533.

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 404251331 is about 20106.0023624787. The cubic root of 404251331 is about 739.4074456539.

The spelling of 404251331 in words is "four hundred four million, two hundred fifty-one thousand, three hundred thirty-one".

Divisors: 1 11 61 671 602461 6627071 36750121 404251331