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34020522325 = 5215777311213
BaseRepresentation
bin11111101011110001…
…111111100101010101
310020210221121121011101
4133223301333211111
51024133223203300
623343453510101
72313026445166
oct375361774525
9106727547141
1034020522325
1113478774a59
1267154a2331
1332923208aa
14190a3c176d
15d41aa4b6a
hex7ebc7f955

34020522325 has 24 divisors (see below), whose sum is σ = 42512857128. Its totient is φ = 27005671680.

The previous prime is 34020522259. The next prime is 34020522329. The reversal of 34020522325 is 52322502043.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 29525892561 + 4494629764 = 171831^2 + 67042^2 .

It is not a de Polignac number, because 34020522325 - 219 = 34019998037 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34020522293 and 34020522302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34020522329) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3028419 + ... + 3039631.

It is an arithmetic number, because the mean of its divisors is an integer number (1771369047).

Almost surely, 234020522325 is an apocalyptic number.

It is an amenable number.

34020522325 is a deficient number, since it is larger than the sum of its proper divisors (8492334803).

34020522325 is a wasteful number, since it uses less digits than its factorization.

34020522325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12153 (or 12148 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 28.

The spelling of 34020522325 in words is "thirty-four billion, twenty million, five hundred twenty-two thousand, three hundred twenty-five".

Divisors: 1 5 25 157 773 785 3865 3925 11213 19325 56065 121361 280325 606805 1760441 3034025 8667649 8802205 43338245 44011025 216691225 1360820893 6804104465 34020522325