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34120739524 = 2219248612
BaseRepresentation
bin11111110001110000…
…010010101011000100
310021001221012011022111
4133301300102223010
51024334402131044
623401433510404
72315354333464
oct376160225304
9107057164274
1034120739524
111351a2a4693
126742b72404
1332aa00c201
14191982bba4
15d4a79db34
hex7f1c12ac4

34120739524 has 27 divisors (see below), whose sum is σ = 63032366061. Its totient is φ = 16159130640.

The previous prime is 34120739503. The next prime is 34120739531. The reversal of 34120739524 is 42593702143.

The square root of 34120739524 is 184718.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 31370785924 + 2749953600 = 177118^2 + 52440^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7016854 + ... + 7021714.

Almost surely, 234120739524 is an apocalyptic number.

34120739524 is the 184718-th square number.

It is an amenable number.

34120739524 is a deficient number, since it is larger than the sum of its proper divisors (28911626537).

34120739524 is an frugal number, since it uses more digits than its factorization.

34120739524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9764 (or 4882 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 40.

The spelling of 34120739524 in words is "thirty-four billion, one hundred twenty million, seven hundred thirty-nine thousand, five hundred twenty-four".

Divisors: 1 2 4 19 38 76 361 722 1444 4861 9722 19444 92359 184718 369436 1754821 3509642 7019284 23629321 47258642 94517284 448957099 897914198 1795828396 8530184881 17060369762 34120739524