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313341912 = 233313151739
BaseRepresentation
bin10010101011010…
…011011111011000
3210211121102022000
4102223103133120
51120203420122
651032001000
710523235162
oct2253233730
9724542260
10313341912
11150967464
1288b30160
134cbbc820
142d887932
151c7970ac
hex12ad37d8

313341912 has 128 divisors (see below), whose sum is σ = 944832000. Its totient is φ = 95644800.

The previous prime is 313341911. The next prime is 313341929. The reversal of 313341912 is 219143313.

313341912 is a `hidden beast` number, since 313 + 341 + 9 + 1 + 2 = 666.

313341912 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313341911) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 423639 + ... + 424377.

It is an arithmetic number, because the mean of its divisors is an integer number (7381500).

Almost surely, 2313341912 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 313341912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472416000).

313341912 is an abundant number, since it is smaller than the sum of its proper divisors (631490088).

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

313341912 is a wasteful number, since it uses less digits than its factorization.

313341912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918 (or 908 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 313341912 is about 17701.4663799359. The cubic root of 313341912 is about 679.2132712262.

It can be divided in two parts, 313 and 341912, that added together give a square (342225 = 5852).

The spelling of 313341912 in words is "three hundred thirteen million, three hundred forty-one thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 151 156 216 234 302 312 351 453 468 604 702 739 906 936 1208 1359 1404 1478 1812 1963 2217 2718 2808 2956 3624 3926 4077 4434 5436 5889 5912 6651 7852 8154 8868 9607 10872 11778 13302 15704 16308 17667 17736 19214 19953 23556 26604 28821 32616 35334 38428 39906 47112 53001 53208 57642 70668 76856 79812 86463 106002 111589 115284 141336 159624 172926 212004 223178 230568 259389 334767 345852 424008 446356 518778 669534 691704 892712 1004301 1037556 1339068 1450657 2008602 2075112 2678136 2901314 3012903 4017204 4351971 5802628 6025806 8034408 8703942 11605256 12051612 13055913 17407884 24103224 26111826 34815768 39167739 52223652 78335478 104447304 156670956 313341912