Search a number
-
+
312994992 = 24383251313
BaseRepresentation
bin10010101001111…
…110110010110000
3210210221210102010
4102221332302300
51120111314432
651020322520
710520261562
oct2251766260
9723853363
10312994992
1115074a852
12889a3440
134caca94b
142d7d7332
151c7293cc
hex12a7ecb0

312994992 has 80 divisors (see below), whose sum is σ = 824197248. Its totient is φ = 102336000.

The previous prime is 312994991. The next prime is 312994993. The reversal of 312994992 is 299499213.

312994992 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (312994991) and next prime (312994993).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (312994991) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 999828 + ... + 1000140.

Almost surely, 2312994992 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 312994992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412098624).

312994992 is an abundant number, since it is smaller than the sum of its proper divisors (511202256).

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

312994992 is a wasteful number, since it uses less digits than its factorization.

312994992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 652 counting only the distinct ones).

The product of its digits is 314928, while the sum is 48.

The square root of 312994992 is about 17691.6644779399. The cubic root of 312994992 is about 678.9625124717.

The spelling of 312994992 in words is "three hundred twelve million, nine hundred ninety-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 83 166 249 251 313 332 498 502 626 664 753 939 996 1004 1252 1328 1506 1878 1992 2008 2504 3012 3756 3984 4016 5008 6024 7512 12048 15024 20833 25979 41666 51958 62499 77937 78563 83332 103916 124998 155874 157126 166664 207832 235689 249996 311748 314252 333328 415664 471378 499992 623496 628504 942756 999984 1246992 1257008 1885512 3771024 6520729 13041458 19562187 26082916 39124374 52165832 78248748 104331664 156497496 312994992