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34056487936 = 210732792
BaseRepresentation
bin11111101101111011…
…001100010000000000
310020220110021211201001
4133231323030100000
51024221430103221
623351220421344
72313644241202
oct375573142000
9106813254631
1034056487936
1113496aaa4a9
126725547854
133299904013
1419110a4772
15d44d0b391
hex7edecc400

34056487936 has 99 divisors (see below), whose sum is σ = 69909887061. Its totient is φ = 16582385664.

The previous prime is 34056487909. The next prime is 34056487963. The reversal of 34056487936 is 63978465043.

The square root of 34056487936 is 184544.

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

It is an interprime number because it is at equal distance from previous prime (34056487909) and next prime (34056487963).

It can be written as a sum of positive squares in only one way, i.e., 19332121600 + 14724366336 = 139040^2 + 121344^2 .

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, 431094745 + ... + 431094823.

Almost surely, 234056487936 is an apocalyptic number.

34056487936 is the 184544-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34056487936

34056487936 is an abundant number, since it is smaller than the sum of its proper divisors (35853399125).

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

34056487936 is an frugal number, since it uses more digits than its factorization.

34056487936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 55.

The spelling of 34056487936 in words is "thirty-four billion, fifty-six million, four hundred eighty-seven thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 73 79 128 146 158 256 292 316 512 584 632 1024 1168 1264 2336 2528 4672 5056 5329 5767 6241 9344 10112 10658 11534 12482 18688 20224 21316 23068 24964 37376 40448 42632 46136 49928 74752 80896 85264 92272 99856 170528 184544 199712 341056 369088 399424 420991 455593 682112 738176 798848 841982 911186 1364224 1476352 1597696 1683964 1822372 2728448 2952704 3195392 3367928 3644744 5456896 5905408 6390784 6735856 7289488 13471712 14578976 26943424 29157952 33258289 53886848 58315904 66516578 107773696 116631808 133033156 215547392 233263616 266066312 431094784 466527232 532132624 1064265248 2128530496 4257060992 8514121984 17028243968 34056487936