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331612704 = 2534314127
BaseRepresentation
bin10011110001000…
…000001000100000
3212002222200010000
4103301000020200
51134343101304
652523340000
711134442613
oct2361001040
9762880100
10331612704
11160206595
1293081600
1353918b47
143208217a
151e1a5939
hex13c40220

331612704 has 120 divisors (see below), whose sum is σ = 1006967808. Its totient is φ = 106945920.

The previous prime is 331612669. The next prime is 331612751. The reversal of 331612704 is 407216133.

331612704 is a `hidden beast` number, since 331 + 61 + 270 + 4 = 666.

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

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, 78289 + ... + 82415.

Almost surely, 2331612704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331612704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503483904).

331612704 is an abundant number, since it is smaller than the sum of its proper divisors (675355104).

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

331612704 is a wasteful number, since it uses less digits than its factorization.

331612704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4180 (or 4163 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 331612704 is about 18210.2362422897. The cubic root of 331612704 is about 692.1661979550.

Adding to 331612704 its reverse (407216133), we get a palindrome (738828837).

The spelling of 331612704 in words is "three hundred thirty-one million, six hundred twelve thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 72 81 93 96 108 124 144 162 186 216 248 279 288 324 372 432 496 558 648 744 837 864 992 1116 1296 1488 1674 2232 2511 2592 2976 3348 4127 4464 5022 6696 8254 8928 10044 12381 13392 16508 20088 24762 26784 33016 37143 40176 49524 66032 74286 80352 99048 111429 127937 132064 148572 198096 222858 255874 297144 334287 383811 396192 445716 511748 594288 668574 767622 891432 1023496 1151433 1188576 1337148 1535244 1782864 2046992 2302866 2674296 3070488 3454299 3565728 4093984 4605732 5348592 6140976 6908598 9211464 10362897 10697184 12281952 13817196 18422928 20725794 27634392 36845856 41451588 55268784 82903176 110537568 165806352 331612704