Search a number
-
+
312114640 = 2454390731
BaseRepresentation
bin10010100110100…
…111110111010000
3210202022001210111
4102212213313100
51114400132030
650545411104
710506634135
oct2246476720
9722261714
10312114640
111501a9392
1288639a94
134c880026
142d64858c
151c60362a
hex129a7dd0

312114640 has 40 divisors (see below), whose sum is σ = 742550688. Its totient is φ = 121941120.

The previous prime is 312114629. The next prime is 312114643. The reversal of 312114640 is 46411213.

312114640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312114643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41926 + ... + 48805.

Almost surely, 2312114640 is an apocalyptic number.

It is an amenable number.

312114640 is an abundant number, since it is smaller than the sum of its proper divisors (430436048).

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

312114640 is a wasteful number, since it uses less digits than its factorization.

312114640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90787 (or 90781 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 312114640 is about 17666.7665405982. The cubic root of 312114640 is about 678.3253486186.

Adding to 312114640 its reverse (46411213), we get a palindrome (358525853).

The spelling of 312114640 in words is "three hundred twelve million, one hundred fourteen thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 172 215 344 430 688 860 1720 3440 90731 181462 362924 453655 725848 907310 1451696 1814620 3629240 3901433 7258480 7802866 15605732 19507165 31211464 39014330 62422928 78028660 156057320 312114640