Search a number
-
+
312140376 = 23327954877
BaseRepresentation
bin10010100110101…
…110001001011000
3210202100101002200
4102212232021120
51114401443001
650550130200
710510102152
oct2246561130
9722311080
10312140376
11150216759
1288650960
134c88b962
142d653ad2
151c60b086
hex129ae258

312140376 has 48 divisors (see below), whose sum is σ = 856096800. Its totient is φ = 102727872.

The previous prime is 312140363. The next prime is 312140377. The reversal of 312140376 is 673041213.

It is a super-2 number, since 2×3121403762 = 194863228658842752, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312140377) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 21751 + ... + 33126.

It is an arithmetic number, because the mean of its divisors is an integer number (17835350).

Almost surely, 2312140376 is an apocalyptic number.

312140376 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

312140376 is an abundant number, since it is smaller than the sum of its proper divisors (543956424).

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

312140376 is a wasteful number, since it uses less digits than its factorization.

312140376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54968 (or 54961 counting only the distinct ones).

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

The square root of 312140376 is about 17667.4948988248. The cubic root of 312140376 is about 678.3439923039.

Adding to 312140376 its reverse (673041213), we get a palindrome (985181589).

The spelling of 312140376 in words is "three hundred twelve million, one hundred forty thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 79 158 237 316 474 632 711 948 1422 1896 2844 5688 54877 109754 164631 219508 329262 439016 493893 658524 987786 1317048 1975572 3951144 4335283 8670566 13005849 17341132 26011698 34682264 39017547 52023396 78035094 104046792 156070188 312140376