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34124025 = 35213311129
BaseRepresentation
bin1000001000101…
…1000011111001
32101012200100210
42002023003321
532213432100
63215221333
7563022645
oct202130371
971180323
1034124025
1118297981
12b517849
1370ba140
144763c25
152ee0c50
hex208b0f9

34124025 has 48 divisors (see below), whose sum is σ = 62773760. Its totient is φ = 16243200.

The previous prime is 34123967. The next prime is 34124033. The reversal of 34124025 is 52042143.

It is not a de Polignac number, because 34124025 - 212 = 34119929 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34123992 and 34124010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29661 + ... + 30789.

Almost surely, 234124025 is an apocalyptic number.

It is an amenable number.

34124025 is a deficient number, since it is larger than the sum of its proper divisors (28649735).

34124025 is a wasteful number, since it uses less digits than its factorization.

34124025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1186 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 34124025 is about 5841.5772698818. The cubic root of 34124025 is about 324.3546166854.

Adding to 34124025 its reverse (52042143), we get a palindrome (86166168).

The spelling of 34124025 in words is "thirty-four million, one hundred twenty-four thousand, twenty-five".

Divisors: 1 3 5 13 15 25 31 39 65 75 93 155 195 325 403 465 775 975 1129 1209 2015 2325 3387 5645 6045 10075 14677 16935 28225 30225 34999 44031 73385 84675 104997 174995 220155 366925 454987 524985 874975 1100775 1364961 2274935 2624925 6824805 11374675 34124025