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34478125 = 55111759
BaseRepresentation
bin1000001110000…
…1100000101101
32101212200002121
42003201200231
532311300000
63230552541
7566026213
oct203414055
971780077
1034478125
1118509a20
12b668751
1371b2376
144816cb3
153060b1a
hex20e182d

34478125 has 48 divisors (see below), whose sum is σ = 50621760. Its totient is φ = 23200000.

The previous prime is 34478111. The next prime is 34478137. The reversal of 34478125 is 52187443.

It is not a de Polignac number, because 34478125 - 27 = 34477997 is a prime.

It is a super-2 number, since 2×344781252 = 2377482207031250, which contains 22 as substring.

Its product of digits (26880) is a multiple of the sum of its prime factors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 584346 + ... + 584404.

It is an arithmetic number, because the mean of its divisors is an integer number (1054620).

Almost surely, 234478125 is an apocalyptic number.

It is an amenable number.

34478125 is a deficient number, since it is larger than the sum of its proper divisors (16143635).

34478125 is an equidigital number, since it uses as much as digits as its factorization.

34478125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 92 counting only the distinct ones).

The product of its digits is 26880, while the sum is 34.

The square root of 34478125 is about 5871.8076433071. The cubic root of 34478125 is about 325.4726849675.

The spelling of 34478125 in words is "thirty-four million, four hundred seventy-eight thousand, one hundred twenty-five".

Divisors: 1 5 11 17 25 55 59 85 125 187 275 295 425 625 649 935 1003 1375 1475 2125 3125 3245 4675 5015 6875 7375 10625 11033 16225 23375 25075 34375 36875 53125 55165 81125 116875 125375 184375 275825 405625 584375 626875 1379125 2028125 3134375 6895625 34478125