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313361424 = 24322176121
BaseRepresentation
bin10010101011011…
…000010000010000
3210211122102001200
4102223120100100
51120210031144
651032231200
710523346105
oct2253302020
9724572050
10313361424
11150980092
1288b3b500
134cbc867c
142d890aac
151c79cc69
hex12ad8410

313361424 has 30 divisors (see below), whose sum is σ = 876977166. Its totient is φ = 104453760.

The previous prime is 313361413. The next prime is 313361429. The reversal of 313361424 is 424163313.

313361424 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., 306950400 + 6411024 = 17520^2 + 2532^2 .

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 (313361429) 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, 1087917 + ... + 1088204.

Almost surely, 2313361424 is an apocalyptic number.

It is an amenable number.

313361424 is an abundant number, since it is smaller than the sum of its proper divisors (563615742).

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

313361424 is a wasteful number, since it uses less digits than its factorization.

313361424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2176135 (or 2176126 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 313361424 is about 17702.0175121369. The cubic root of 313361424 is about 679.2273692809.

The spelling of 313361424 in words is "three hundred thirteen million, three hundred sixty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 2176121 4352242 6528363 8704484 13056726 17408968 19585089 26113452 34817936 39170178 52226904 78340356 104453808 156680712 313361424