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34904925 = 3452111567
BaseRepresentation
bin1000010100100…
…1101101011101
32102200100120000
42011021231131
532413424200
63244044513
7602454426
oct205115535
972610500
1034904925
1118780650
12b833739
137301703
1448c864d
1530e7300
hex2149b5d

34904925 has 60 divisors (see below), whose sum is σ = 70578816. Its totient is φ = 16912800.

The previous prime is 34904873. The next prime is 34904929. The reversal of 34904925 is 52940943.

34904925 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 34904925 - 26 = 34904861 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34904925.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34904929) 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 59 ways as a sum of consecutive naturals, for example, 21492 + ... + 23058.

Almost surely, 234904925 is an apocalyptic number.

It is an amenable number.

34904925 is an abundant number, since it is smaller than the sum of its proper divisors (35673891).

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

34904925 is a wasteful number, since it uses less digits than its factorization.

34904925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1600 (or 1586 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 34904925 is about 5908.0390147662. The cubic root of 34904925 is about 326.8101751567.

The spelling of 34904925 in words is "thirty-four million, nine hundred four thousand, nine hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 27 33 45 55 75 81 99 135 165 225 275 297 405 495 675 825 891 1485 1567 2025 2475 4455 4701 7425 7835 14103 17237 22275 23505 39175 42309 51711 70515 86185 117525 126927 155133 211545 258555 352575 430925 465399 634635 775665 1057725 1292775 1396197 2326995 3173175 3878325 6980985 11634975 34904925