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331323920 = 2454141549
BaseRepresentation
bin10011101111111…
…001101000010000
3212002102222222022
4103233321220100
51134304331140
652513231012
711132130644
oct2357715020
9762388868
10331323920
11160029624
1292b62468
1353847575
1432008c24
151e14a0b5
hex13bf9a10

331323920 has 20 divisors (see below), whose sum is σ = 770328300. Its totient is φ = 132529536.

The previous prime is 331323899. The next prime is 331323929. The reversal of 331323920 is 29323133.

It can be written as a sum of positive squares in 2 ways, for example, as 262699264 + 68624656 = 16208^2 + 8284^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a self number, because there is not a number n which added to its sum of digits gives 331323920.

It is not an unprimeable number, because it can be changed into a prime (331323929) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2070695 + ... + 2070854.

It is an arithmetic number, because the mean of its divisors is an integer number (38516415).

Almost surely, 2331323920 is an apocalyptic number.

It is an amenable number.

331323920 is an abundant number, since it is smaller than the sum of its proper divisors (439004380).

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

331323920 is a wasteful number, since it uses less digits than its factorization.

331323920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4141562 (or 4141556 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 26.

The square root of 331323920 is about 18202.3053484991. The cubic root of 331323920 is about 691.9652159334.

The spelling of 331323920 in words is "three hundred thirty-one million, three hundred twenty-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 4141549 8283098 16566196 20707745 33132392 41415490 66264784 82830980 165661960 331323920