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2424332313 = 321320720789
BaseRepresentation
bin1001000010000000…
…0110000000011001
320020221210211201200
42100200012000121
514431112113223
61040321504413
7114035325144
oct22040060031
96227724650
102424332313
111034521827
12577aa2109
132c8357c80
1418dd9505b
15e2c80a43
hex90806019

2424332313 has 12 divisors (see below), whose sum is σ = 3771183780. Its totient is φ = 1491896736.

The previous prime is 2424332297. The next prime is 2424332327. The reversal of 2424332313 is 3132334242.

2424332313 is a `hidden beast` number, since 2 + 424 + 3 + 3 + 231 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1360724544 + 1063607769 = 36888^2 + 32613^2 .

It is not a de Polignac number, because 2424332313 - 24 = 2424332297 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2424332513) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10360278 + ... + 10360511.

It is an arithmetic number, because the mean of its divisors is an integer number (314265315).

Almost surely, 22424332313 is an apocalyptic number.

It is an amenable number.

2424332313 is a deficient number, since it is larger than the sum of its proper divisors (1346851467).

2424332313 is a wasteful number, since it uses less digits than its factorization.

2424332313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20720808 (or 20720805 counting only the distinct ones).

The product of its digits is 10368, while the sum is 27.

The square root of 2424332313 is about 49237.5092079199. The cubic root of 2424332313 is about 1343.3753757398.

Adding to 2424332313 its reverse (3132334242), we get a palindrome (5556666555).

The spelling of 2424332313 in words is "two billion, four hundred twenty-four million, three hundred thirty-two thousand, three hundred thirteen".

Divisors: 1 3 9 13 39 117 20720789 62162367 186487101 269370257 808110771 2424332313