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331355040 = 2535690323
BaseRepresentation
bin10011110000000…
…001001110100000
3212002111120122220
4103300001032200
51134311330130
652514031040
711132320452
oct2360011640
9762446586
10331355040
1116004aa45
1292b78480
1353858793
14320162d2
151e154410
hex13c013a0

331355040 has 48 divisors (see below), whose sum is σ = 1043769888. Its totient is φ = 88361216.

The previous prime is 331355021. The next prime is 331355047. The reversal of 331355040 is 40553133.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 331355040.

It is not an unprimeable number, because it can be changed into a prime (331355047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 344682 + ... + 345641.

It is an arithmetic number, because the mean of its divisors is an integer number (21745206).

Almost surely, 2331355040 is an apocalyptic number.

331355040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

331355040 is an abundant number, since it is smaller than the sum of its proper divisors (712414848).

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

331355040 is a wasteful number, since it uses less digits than its factorization.

331355040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690341 (or 690333 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 24.

The square root of 331355040 is about 18203.1601652021. The cubic root of 331355040 is about 691.9868798118.

The spelling of 331355040 in words is "three hundred thirty-one million, three hundred fifty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 690323 1380646 2070969 2761292 3451615 4141938 5522584 6903230 8283876 10354845 11045168 13806460 16567752 20709690 22090336 27612920 33135504 41419380 55225840 66271008 82838760 110451680 165677520 331355040