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34520625 = 325417192
BaseRepresentation
bin1000001110101…
…1111000110001
32101221211101200
42003223320301
532314130000
63231521413
7566264136
oct203537061
971854350
1034520625
1118538947
12b689269
1371c8809
14482858d
15306d500
hex20ebe31

34520625 has 90 divisors (see below), whose sum is σ = 69629274. Its totient is φ = 16416000.

The previous prime is 34520621. The next prime is 34520653. The reversal of 34520625 is 52602543.

34520625 = T135 + T136 + ... + T593.

34520625 is a `hidden beast` number, since 34 + 5 + 2 + 0 + 625 = 666.

34520625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 8785296 + 25735329 = 2964^2 + 5073^2 .

It is not a de Polignac number, because 34520625 - 22 = 34520621 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34520621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 1816866 + ... + 1816884.

Almost surely, 234520625 is an apocalyptic number.

It is an amenable number.

34520625 is an abundant number, since it is smaller than the sum of its proper divisors (35108649).

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

34520625 is a wasteful number, since it uses less digits than its factorization.

34520625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 34520625 is about 5875.4255165052. The cubic root of 34520625 is about 325.6063630542.

The spelling of 34520625 in words is "thirty-four million, five hundred twenty thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 17 19 25 45 51 57 75 85 95 125 153 171 225 255 285 323 361 375 425 475 625 765 855 969 1083 1125 1275 1425 1615 1805 1875 2125 2375 2907 3249 3825 4275 4845 5415 5625 6137 6375 7125 8075 9025 10625 11875 14535 16245 18411 19125 21375 24225 27075 30685 31875 35625 40375 45125 55233 72675 81225 92055 95625 106875 121125 135375 153425 201875 225625 276165 363375 406125 460275 605625 676875 767125 1380825 1816875 2030625 2301375 3835625 6904125 11506875 34520625