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331426440 = 233256311459
BaseRepresentation
bin10011110000010…
…010101010001000
3212002122012121100
4103300102222020
51134321121230
652515341400
711133035562
oct2360225210
9762565540
10331426440
11160099654
1292bb1860
1353882127
1432034332
151e16a660
hex13c12a88

331426440 has 96 divisors (see below), whose sum is σ = 1079582400. Its totient is φ = 88179840.

The previous prime is 331426393. The next prime is 331426451. The reversal of 331426440 is 44624133.

331426440 is a `hidden beast` number, since 3 + 3 + 14 + 2 + 644 + 0 = 666.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 226431 + ... + 227889.

It is an arithmetic number, because the mean of its divisors is an integer number (11245650).

Almost surely, 2331426440 is an apocalyptic number.

331426440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331426440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539791200).

331426440 is an abundant number, since it is smaller than the sum of its proper divisors (748155960).

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

331426440 is a wasteful number, since it uses less digits than its factorization.

331426440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2107 (or 2100 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 331426440 is about 18205.1212574924. The cubic root of 331426440 is about 692.0365790859.

The spelling of 331426440 in words is "three hundred thirty-one million, four hundred twenty-six thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 631 1262 1459 1893 2524 2918 3155 3786 4377 5048 5679 5836 6310 7295 7572 8754 9465 11358 11672 12620 13131 14590 15144 17508 18930 21885 22716 25240 26262 28395 29180 35016 37860 43770 45432 52524 56790 58360 65655 75720 87540 105048 113580 131310 175080 227160 262620 525240 920629 1841258 2761887 3682516 4603145 5523774 7365032 8285661 9206290 11047548 13809435 16571322 18412580 22095096 27618870 33142644 36825160 41428305 55237740 66285288 82856610 110475480 165713220 331426440