Search a number
-
+
313387344 = 24322176301
BaseRepresentation
bin10010101011011…
…110100101010000
3210211200201121200
4102223132211100
51120211343334
651032551200
710523514504
oct2253364520
9724621550
10313387344
11150998606
1288b52500
134cc073ca
142d89a304
151c7a5799
hex12ade950

313387344 has 30 divisors (see below), whose sum is σ = 877049706. Its totient is φ = 104462400.

The previous prime is 313387343. The next prime is 313387411. The reversal of 313387344 is 443783313.

313387344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 313290000 + 97344 = 17700^2 + 312^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 313387299 and 313387308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313387343) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1088007 + ... + 1088294.

Almost surely, 2313387344 is an apocalyptic number.

It is an amenable number.

313387344 is an abundant number, since it is smaller than the sum of its proper divisors (563662362).

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

313387344 is a wasteful number, since it uses less digits than its factorization.

313387344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2176315 (or 2176306 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 313387344 is about 17702.7496169380. The cubic root of 313387344 is about 679.2460964190.

The spelling of 313387344 in words is "three hundred thirteen million, three hundred eighty-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 2176301 4352602 6528903 8705204 13057806 17410408 19586709 26115612 34820816 39173418 52231224 78346836 104462448 156693672 313387344