Search a number
-
+
3131879904 = 25343138977
BaseRepresentation
bin1011101010101100…
…1011000111100000
322002021011222120000
42322223023013200
522403230124104
61234435020000
7140416353126
oct27253130740
98067158500
103131879904
1113679567aa
12734a3a600
133abb0a89a
14219d35916
15134e44639
hexbaacb1e0

3131879904 has 120 divisors (see below), whose sum is σ = 9508137408. Its totient is φ = 1010257920.

The previous prime is 3131879899. The next prime is 3131879917. The reversal of 3131879904 is 4099781313.

3131879904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3131879904.

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, 60864 + ... + 99840.

Almost surely, 23131879904 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 3131879904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4754068704).

3131879904 is an abundant number, since it is smaller than the sum of its proper divisors (6376257504).

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

3131879904 is a wasteful number, since it uses less digits than its factorization.

3131879904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39030 (or 39013 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 3131879904 is about 55963.2013380221. The cubic root of 3131879904 is about 1463.0809873145.

The spelling of 3131879904 in words is "three billion, one hundred thirty-one million, eight hundred seventy-nine thousand, nine 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 4464 5022 6696 8928 10044 13392 20088 26784 38977 40176 77954 80352 116931 155908 233862 311816 350793 467724 623632 701586 935448 1052379 1208287 1247264 1403172 1870896 2104758 2416574 2806344 3157137 3624861 3741792 4209516 4833148 5612688 6314274 7249722 8419032 9666296 10874583 11225376 12628548 14499444 16838064 19332592 21749166 25257096 28998888 32623749 33676128 38665184 43498332 50514192 57997776 65247498 86996664 97871247 101028384 115995552 130494996 173993328 195742494 260989992 347986656 391484988 521979984 782969976 1043959968 1565939952 3131879904