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331505136 = 24341791429
BaseRepresentation
bin10011110000100…
…101110111110000
3212002210012120000
4103300211313300
51134331131021
652521150000
711133514164
oct2360456760
9762705500
10331505136
11160142796
129302b300
13538abbb1
1432054ca4
151e183b26
hex13c25df0

331505136 has 100 divisors (see below), whose sum is σ = 965507400. Its totient is φ = 109807488.

The previous prime is 331505113. The next prime is 331505197. The reversal of 331505136 is 631505133.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 231270 + ... + 232698.

It is an arithmetic number, because the mean of its divisors is an integer number (9655074).

Almost surely, 2331505136 is an apocalyptic number.

331505136 is a gapful number since it is divisible by the number (36) 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 331505136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482753700).

331505136 is an abundant number, since it is smaller than the sum of its proper divisors (634002264).

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

331505136 is a wasteful number, since it uses less digits than its factorization.

331505136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1628 (or 1613 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 27.

The square root of 331505136 is about 18207.2824990442. The cubic root of 331505136 is about 692.0913486055.

The spelling of 331505136 in words is "three hundred thirty-one million, five hundred five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 179 216 324 358 432 537 648 716 1074 1296 1429 1432 1611 2148 2858 2864 3222 4287 4296 4833 5716 6444 8574 8592 9666 11432 12861 12888 14499 17148 19332 22864 25722 25776 28998 34296 38583 38664 51444 57996 68592 77166 77328 102888 115749 115992 154332 205776 231498 231984 255791 308664 462996 511582 617328 767373 925992 1023164 1534746 1851984 2046328 2302119 3069492 4092656 4604238 6138984 6906357 9208476 12277968 13812714 18416952 20719071 27625428 36833904 41438142 55250856 82876284 110501712 165752568 331505136