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34272652417 = 1131434121149
BaseRepresentation
bin11111111010110011…
…110010110010000001
310021110112001010121221
4133322303302302001
51030142244334132
623424501515041
72322210511303
oct377263626201
9107415033557
1034272652417
1113598023033
126785a12a81
13330262a9b3
141931a93973
15d58ca9e97
hex7facf2c81

34272652417 has 8 divisors (see below), whose sum is σ = 34579996200. Its totient is φ = 33965379840.

The previous prime is 34272652387. The next prime is 34272652459. The reversal of 34272652417 is 71425627243.

It can be written as a sum of positive squares in 4 ways, for example, as 7667454096 + 26605198321 = 87564^2 + 163111^2 .

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 34272652417 - 27 = 34272652289 is a prime.

It is a super-2 number, since 2×342726524172 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34272652717) 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, 1609959 + ... + 1631107.

It is an arithmetic number, because the mean of its divisors is an integer number (4322499525).

Almost surely, 234272652417 is an apocalyptic number.

It is an amenable number.

34272652417 is a deficient number, since it is larger than the sum of its proper divisors (307343783).

34272652417 is a wasteful number, since it uses less digits than its factorization.

34272652417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35603.

The product of its digits is 564480, while the sum is 43.

The spelling of 34272652417 in words is "thirty-four billion, two hundred seventy-two million, six hundred fifty-two thousand, four hundred seventeen".

Divisors: 1 113 14341 21149 1620533 2389837 303297809 34272652417