Search a number
-
+
3160678968 = 23345039697
BaseRepresentation
bin1011110001100100…
…0010001000111000
322011021101010110000
42330121002020320
522433113211333
61241344153000
7141216220326
oct27431021070
98137333400
103160678968
111382136987
12742608760
133b4a82055
1421dab0d16
15137732713
hexbc642238

3160678968 has 80 divisors (see below), whose sum is σ = 8871342480. Its totient is φ = 1051356672.

The previous prime is 3160678957. The next prime is 3160678979. The reversal of 3160678968 is 8698760613.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3160678957) and next prime (3160678979).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 321096 + ... + 330792.

It is an arithmetic number, because the mean of its divisors is an integer number (110891781).

Almost surely, 23160678968 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 3160678968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4435671240).

3160678968 is an abundant number, since it is smaller than the sum of its proper divisors (5710663512).

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

3160678968 is a wasteful number, since it uses less digits than its factorization.

3160678968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10218 (or 10205 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 3160678968 is about 56219.9161151989. The cubic root of 3160678968 is about 1467.5518768706.

The spelling of 3160678968 in words is "three billion, one hundred sixty million, six hundred seventy-eight thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 503 648 1006 1509 2012 3018 4024 4527 6036 9054 9697 12072 13581 18108 19394 27162 29091 36216 38788 40743 54324 58182 77576 81486 87273 108648 116364 162972 174546 232728 261819 325944 349092 523638 698184 785457 1047276 1570914 2094552 3141828 4877591 6283656 9755182 14632773 19510364 29265546 39020728 43898319 58531092 87796638 117062184 131694957 175593276 263389914 351186552 395084871 526779828 790169742 1053559656 1580339484 3160678968