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331424133 = 3373598317
BaseRepresentation
bin10011110000010…
…010000110000101
3212002122002102220
4103300102012011
51134321033013
652515322553
711133026055
oct2360220605
9762562386
10331424133
11160097947
1292bb0459
1353881071
1432033565
151e169b23
hex13c12185

331424133 has 16 divisors (see below), whose sum is σ = 455160960. Its totient is φ = 214353216.

The previous prime is 331424123. The next prime is 331424167.

331424133 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 331424133 - 214 = 331407749 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331424113) 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 15 ways as a sum of consecutive naturals, for example, 35691 + ... + 44007.

It is an arithmetic number, because the mean of its divisors is an integer number (28447560).

Almost surely, 2331424133 is an apocalyptic number.

It is an amenable number.

331424133 is a deficient number, since it is larger than the sum of its proper divisors (123736827).

331424133 is a wasteful number, since it uses less digits than its factorization.

331424133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8716.

The product of its digits is 2592, while the sum is 24.

The square root of 331424133 is about 18205.0578960903. The cubic root of 331424133 is about 692.0349733680.

The spelling of 331424133 in words is "three hundred thirty-one million, four hundred twenty-four thousand, one hundred thirty-three".

Divisors: 1 3 37 111 359 1077 8317 13283 24951 39849 307729 923187 2985803 8957409 110474711 331424133