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3430891625 = 5376164279
BaseRepresentation
bin1100110001111111…
…0100000001101001
322212002211100112012
43030133310001221
524011302013000
61324235525305
7151010045330
oct31437640151
98762740465
103430891625
111500715727
127b8bb9835
13428a508b5
1424792cd17
1515130a735
hexcc7f4069

3430891625 has 32 divisors (see below), whose sum is σ = 4973729280. Its totient is φ = 2314008000.

The previous prime is 3430891609. The next prime is 3430891631. The reversal of 3430891625 is 5261980343.

3430891625 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 3430891625 - 24 = 3430891609 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21236 + ... + 85514.

It is an arithmetic number, because the mean of its divisors is an integer number (155429040).

Almost surely, 23430891625 is an apocalyptic number.

3430891625 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3430891625 is a deficient number, since it is larger than the sum of its proper divisors (1542837655).

3430891625 is an equidigital number, since it uses as much as digits as its factorization.

3430891625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64362 (or 64352 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 41.

The square root of 3430891625 is about 58573.8134749651. The cubic root of 3430891625 is about 1508.2349484240.

The spelling of 3430891625 in words is "three billion, four hundred thirty million, eight hundred ninety-one thousand, six hundred twenty-five".

Divisors: 1 5 7 25 35 61 125 175 305 427 875 1525 2135 7625 10675 53375 64279 321395 449953 1606975 2249765 3921019 8034875 11248825 19605095 27447133 56244125 98025475 137235665 490127375 686178325 3430891625