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3742634313 = 3211231643669
BaseRepresentation
bin1101111100010100…
…0001000101001001
3100122211102112002200
43133011001011021
530131103244223
61415213350413
7161513603205
oct33705010511
910584375080
103742634313
11165068a610
12885498409
13478500522
142770bbb05
1516d888a43
hexdf141149

3742634313 has 24 divisors (see below), whose sum is σ = 6153900480. Its totient is φ = 2169641760.

The previous prime is 3742634279. The next prime is 3742634333. The reversal of 3742634313 is 3134362473.

3742634313 is a `hidden beast` number, since 3 + 7 + 4 + 2 + 634 + 3 + 13 = 666.

3742634313 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3742634313 - 28 = 3742634057 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3742634333) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 819558 + ... + 824111.

It is an arithmetic number, because the mean of its divisors is an integer number (256412520).

Almost surely, 23742634313 is an apocalyptic number.

3742634313 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3742634313 is a deficient number, since it is larger than the sum of its proper divisors (2411266167).

3742634313 is a wasteful number, since it uses less digits than its factorization.

3742634313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1643709 (or 1643706 counting only the distinct ones).

The product of its digits is 108864, while the sum is 36.

The square root of 3742634313 is about 61177.0734262436. The cubic root of 3742634313 is about 1552.5983906153.

Adding to 3742634313 its reverse (3134362473), we get a palindrome (6876996786).

The spelling of 3742634313 in words is "three billion, seven hundred forty-two million, six hundred thirty-four thousand, three hundred thirteen".

Divisors: 1 3 9 11 23 33 69 99 207 253 759 2277 1643669 4931007 14793021 18080359 37804387 54241077 113413161 162723231 340239483 415848257 1247544771 3742634313