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3152934801 = 341723672
BaseRepresentation
bin1011101111101101…
…1111011110010001
322010201210200110000
42323323133132101
522424122403201
61240510200213
7141063334512
oct27373373621
98121720400
103152934801
111378827645
1273bab3069
133b32a01c3
1421ca56a09
15136c02d86
hexbbedf791

3152934801 has 45 divisors (see below), whose sum is σ = 5016962379. Its totient is φ = 1972921536.

The previous prime is 3152934787. The next prime is 3152934821. The reversal of 3152934801 is 1084392513.

The square root of 3152934801 is 56151.

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., 2454707025 + 698227776 = 49545^2 + 26424^2 .

It is not a de Polignac number, because 3152934801 - 25 = 3152934769 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3152934821) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 8590920 + ... + 8591286.

Almost surely, 23152934801 is an apocalyptic number.

3152934801 is the 56151-st square number.

3152934801 is the 28076-th centered octagonal number.

It is an amenable number.

3152934801 is a deficient number, since it is larger than the sum of its proper divisors (1864027578).

3152934801 is an frugal number, since it uses more digits than its factorization.

3152934801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The cubic root of 3152934801 is about 1466.3523180016.

Multiplying 3152934801 by its sum of digits (36), we get a square (113505652836 = 3369062).

The spelling of 3152934801 in words is "three billion, one hundred fifty-two million, nine hundred thirty-four thousand, eight hundred one".

Divisors: 1 3 9 17 27 51 81 153 289 367 459 867 1101 1377 2601 3303 6239 7803 9909 18717 23409 29727 56151 106063 134689 168453 318189 404067 505359 954567 1212201 2289713 2863701 3636603 6869139 8591103 10909809 20607417 38925121 61822251 116775363 185466753 350326089 1050978267 3152934801