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3116304 = 2432171967
BaseRepresentation
bin1011111000110100010000
312212022202200
423320310100
51244210204
6150443200
735326302
oct13706420
95768680
103116304
111839364
121063500
13851589
145b1972
15418539
hex2f8d10

3116304 has 120 divisors (see below), whose sum is σ = 9865440. Its totient is φ = 912384.

The previous prime is 3116303. The next prime is 3116317. The reversal of 3116304 is 4036113.

3116304 is a `hidden beast` number, since 31 + 1 + 630 + 4 = 666.

It is a super-2 number, since 2×31163042 = 19422701240832, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3116303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46479 + ... + 46545.

It is an arithmetic number, because the mean of its divisors is an integer number (82212).

Almost surely, 23116304 is an apocalyptic number.

3116304 is a gapful number since it is divisible by the number (34) 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 3116304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4932720).

3116304 is an abundant number, since it is smaller than the sum of its proper divisors (6749136).

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

3116304 is a wasteful number, since it uses less digits than its factorization.

3116304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 3116304 is about 1765.3056392591. The cubic root of 3116304 is about 146.0651488817.

The spelling of 3116304 in words is "three million, one hundred sixteen thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 19 24 34 36 38 48 51 57 67 68 72 76 102 114 134 136 144 152 153 171 201 204 228 268 272 304 306 323 342 402 408 456 536 603 612 646 684 804 816 912 969 1072 1139 1206 1224 1273 1292 1368 1608 1938 2278 2412 2448 2546 2584 2736 2907 3216 3417 3819 3876 4556 4824 5092 5168 5814 6834 7638 7752 9112 9648 10184 10251 11457 11628 13668 15276 15504 18224 20368 20502 21641 22914 23256 27336 30552 41004 43282 45828 46512 54672 61104 64923 82008 86564 91656 129846 164016 173128 183312 194769 259692 346256 389538 519384 779076 1038768 1558152 3116304