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313413432 = 23313058893
BaseRepresentation
bin10010101011100…
…100111100111000
3210211202001101220
4102223210330320
51120213212212
651033312040
710523653533
oct2253447470
9724661356
10313413432
11150a06172
1288b65620
134cc16247
142d8a5a1a
151c7ad38c
hex12ae4f38

313413432 has 16 divisors (see below), whose sum is σ = 783533640. Its totient is φ = 104471136.

The previous prime is 313413431. The next prime is 313413449. The reversal of 313413432 is 234314313.

313413432 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 (24), and also a Moran number because the ratio is a prime number: 13058893 = 313413432 / (3 + 1 + 3 + 4 + 1 + 3 + 4 + 3 + 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 (313413431) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6529423 + ... + 6529470.

Almost surely, 2313413432 is an apocalyptic number.

It is an amenable number.

313413432 is an abundant number, since it is smaller than the sum of its proper divisors (470120208).

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

313413432 is a wasteful number, since it uses less digits than its factorization.

313413432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13058902 (or 13058898 counting only the distinct ones).

The product of its digits is 2592, while the sum is 24.

The square root of 313413432 is about 17703.4864362927. The cubic root of 313413432 is about 679.2649438941.

Adding to 313413432 its reverse (234314313), we get a palindrome (547727745).

The spelling of 313413432 in words is "three hundred thirteen million, four hundred thirteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 13058893 26117786 39176679 52235572 78353358 104471144 156706716 313413432