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34116300608 = 261341005169
BaseRepresentation
bin11111110001011111…
…010110111101000000
310021001121211122021012
4133301133112331000
51024332233104413
623401154420052
72315301525155
oct376137267500
9107047748235
1034116300608
1113517842665
126741591628
1332a9116930
141918dd422c
15d4a1c37a8
hex7f17d6f40

34116300608 has 28 divisors (see below), whose sum is σ = 72907192260. Its totient is φ = 15745984512.

The previous prime is 34116300601. The next prime is 34116300619. The reversal of 34116300608 is 80600361143.

It can be written as a sum of positive squares in 2 ways, for example, as 4226040064 + 29890260544 = 65008^2 + 172888^2 .

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34116300601) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20501753 + ... + 20503416.

It is an arithmetic number, because the mean of its divisors is an integer number (2603828295).

Almost surely, 234116300608 is an apocalyptic number.

It is an amenable number.

34116300608 is an abundant number, since it is smaller than the sum of its proper divisors (38790891652).

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

34116300608 is a wasteful number, since it uses less digits than its factorization.

34116300608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41005194 (or 41005184 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The spelling of 34116300608 in words is "thirty-four billion, one hundred sixteen million, three hundred thousand, six hundred eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 41005169 82010338 164020676 328041352 533067197 656082704 1066134394 1312165408 2132268788 2624330816 4264537576 8529075152 17058150304 34116300608