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3413082717 = 331176115101
BaseRepresentation
bin1100101101101111…
…1000001001011101
322210212022120022000
43023123320021131
523442222121332
61322402112513
7150402503322
oct31333701135
98725276260
103413082717
1114a1661620
127b304b739
13425156895
14245414b49
1514e98db7c
hexcb6f825d

3413082717 has 32 divisors (see below), whose sum is σ = 5523707520. Its totient is φ = 2065680000.

The previous prime is 3413082653. The next prime is 3413082749. The reversal of 3413082717 is 7172803143.

3413082717 is a `hidden beast` number, since 341 + 308 + 2 + 7 + 1 + 7 = 666.

It is not a de Polignac number, because 3413082717 - 26 = 3413082653 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3413082767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 218467 + ... + 233567.

It is an arithmetic number, because the mean of its divisors is an integer number (172615860).

Almost surely, 23413082717 is an apocalyptic number.

It is an amenable number.

3413082717 is a deficient number, since it is larger than the sum of its proper divisors (2110624803).

3413082717 is a wasteful number, since it uses less digits than its factorization.

3413082717 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15882 (or 15876 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 3413082717 is about 58421.5946119241. The cubic root of 3413082717 is about 1505.6207954641.

The spelling of 3413082717 in words is "three billion, four hundred thirteen million, eighty-two thousand, seven hundred seventeen".

Divisors: 1 3 9 11 27 33 99 297 761 2283 6849 8371 15101 20547 25113 45303 75339 135909 166111 226017 407727 498333 1494999 4484997 11491861 34475583 103426749 126410471 310280247 379231413 1137694239 3413082717