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34346320236153 = 3216913212256377
BaseRepresentation
bin1111100111100111000000…
…01101111000111001111001
311111121110212010000021202100
413303303200031320321321
514000212230440024103
6201014252013454013
710143303556005162
oct763634015707171
9144543763007670
1034346320236153
11aa42213403a22
123a286691a1309
131621ac8649433
1486a529568769
153e865ec1c5a3
hex1f3ce0378e79

34346320236153 has 12 divisors (see below), whose sum is σ = 49611402772308. Its totient is φ = 22897523137920.

The previous prime is 34346320236091. The next prime is 34346320236271. The reversal of 34346320236153 is 35163202364343.

34346320236153 is a `hidden beast` number, since 3 + 4 + 3 + 4 + 6 + 3 + 2 + 0 + 23 + 615 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2762403554304 + 31583916681849 = 1662048^2 + 5619957^2 .

It is not a de Polignac number, because 34346320236153 - 217 = 34346320105081 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34346320236099 and 34346320236108.

It is not an unprimeable number, because it can be changed into a prime (34346320234153) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14093701 + ... + 16350077.

It is an arithmetic number, because the mean of its divisors is an integer number (4134283564359).

Almost surely, 234346320236153 is an apocalyptic number.

It is an amenable number.

34346320236153 is a deficient number, since it is larger than the sum of its proper divisors (15265082536155).

34346320236153 is a wasteful number, since it uses less digits than its factorization.

34346320236153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3947704 (or 3947701 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 45.

The spelling of 34346320236153 in words is "thirty-four trillion, three hundred forty-six billion, three hundred twenty million, two hundred thirty-six thousand, one hundred fifty-three".

Divisors: 1 3 9 1691321 2256377 5073963 6769131 15221889 20307393 3816257804017 11448773412051 34346320236153