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3417006317 = 61558110037
BaseRepresentation
bin1100101110101011…
…0110000011101101
322211010200220110112
43023222312003231
523444223200232
61323022145405
7150451034354
oct31352660355
98733626415
103417006317
1114a38a146a
127b4422265
13425bcb73a
14245b5699b
1514eeb64b2
hexcbab60ed

3417006317 has 8 divisors (see below), whose sum is σ = 3473991192. Its totient is φ = 3360052800.

The previous prime is 3417006269. The next prime is 3417006319. The reversal of 3417006317 is 7136007143.

It can be written as a sum of positive squares in 4 ways, for example, as 26739241 + 3390267076 = 5171^2 + 58226^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 3417006317 - 26 = 3417006253 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3417006319) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 335423 + ... + 345459.

It is an arithmetic number, because the mean of its divisors is an integer number (434248899).

Almost surely, 23417006317 is an apocalyptic number.

It is an amenable number.

3417006317 is a deficient number, since it is larger than the sum of its proper divisors (56984875).

3417006317 is a wasteful number, since it uses less digits than its factorization.

3417006317 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15679.

The product of its (nonzero) digits is 10584, while the sum is 32.

The square root of 3417006317 is about 58455.1650155912. The cubic root of 3417006317 is about 1506.1975166667.

The spelling of 3417006317 in words is "three billion, four hundred seventeen million, six thousand, three hundred seventeen".

Divisors: 1 61 5581 10037 340441 612257 56016497 3417006317