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331203240 = 233251019109
BaseRepresentation
bin10011101111011…
…100001010101000
3212002012212102200
4103233130022220
51134242000430
652510500200
711131116054
oct2357341250
9762185380
10331203240
1115aa56995
1292b04660
1353804664
1431db6c64
151e124460
hex13bdc2a8

331203240 has 96 divisors (see below), whose sum is σ = 1087187400. Its totient is φ = 87436800.

The previous prime is 331203233. The next prime is 331203259. The reversal of 331203240 is 42302133.

It can be written as a sum of positive squares in 4 ways, for example, as 282845124 + 48358116 = 16818^2 + 6954^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31806 + ... + 40914.

Almost surely, 2331203240 is an apocalyptic number.

331203240 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 331203240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543593700).

331203240 is an abundant number, since it is smaller than the sum of its proper divisors (755984160).

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

331203240 is a wasteful number, since it uses less digits than its factorization.

331203240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9227 (or 9220 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 331203240 is about 18198.9900818699. The cubic root of 331203240 is about 691.8811929196.

Adding to 331203240 its reverse (42302133), we get a palindrome (373505373).

The spelling of 331203240 in words is "three hundred thirty-one million, two hundred three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 101 120 180 202 303 360 404 505 606 808 909 1010 1212 1515 1818 2020 2424 3030 3636 4040 4545 6060 7272 9090 9109 12120 18180 18218 27327 36360 36436 45545 54654 72872 81981 91090 109308 136635 163962 182180 218616 273270 327924 364360 409905 546540 655848 819810 920009 1093080 1639620 1840018 2760027 3279240 3680036 4600045 5520054 7360072 8280081 9200090 11040108 13800135 16560162 18400180 22080216 27600270 33120324 36800360 41400405 55200540 66240648 82800810 110401080 165601620 331203240