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34282810325 = 5223324124421
BaseRepresentation
bin11111111011011010…
…100010101111010101
310021111020011012122202
4133323122202233111
51030202344412300
623425503334245
72322363036221
oct377332425725
9107436135582
1034282810325
11135a28308a5
1267892b1385
1333047763aa
141933179781
15d59b14ad5
hex7fb6a2bd5

34282810325 has 24 divisors (see below), whose sum is σ = 42872039496. Its totient is φ = 27194112000.

The previous prime is 34282810321. The next prime is 34282810343. The reversal of 34282810325 is 52301828243.

It can be written as a sum of positive squares in 12 ways, for example, as 22671023761 + 11611786564 = 150569^2 + 107758^2 .

It is not a de Polignac number, because 34282810325 - 22 = 34282810321 is a prime.

It is a super-2 number, since 2×342828103252 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34282810321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1391615 + ... + 1416035.

It is an arithmetic number, because the mean of its divisors is an integer number (1786334979).

Almost surely, 234282810325 is an apocalyptic number.

It is an amenable number.

34282810325 is a deficient number, since it is larger than the sum of its proper divisors (8589229171).

34282810325 is a wasteful number, since it uses less digits than its factorization.

34282810325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24905 (or 24900 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 38.

The spelling of 34282810325 in words is "thirty-four billion, two hundred eighty-two million, eight hundred ten thousand, three hundred twenty-five".

Divisors: 1 5 25 233 241 1165 1205 5825 6025 24421 56153 122105 280765 610525 1403825 5690093 5885461 28450465 29427305 142252325 147136525 1371312413 6856562065 34282810325