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345025512 = 2332132111747
BaseRepresentation
bin10100100100001…
…010101111101000
3220001020010000200
4110210022233220
51201311304022
654123032200
711356445166
oct2444125750
9801203020
10345025512
11167837857
129766b660
1356633c10
1433b74236
1520454bac
hex1490abe8

345025512 has 96 divisors (see below), whose sum is σ = 1011672480. Its totient is φ = 105598080.

The previous prime is 345025501. The next prime is 345025517. The reversal of 345025512 is 215520543.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (345025517) 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 23 ways as a sum of consecutive naturals, for example, 196623 + ... + 198369.

It is an arithmetic number, because the mean of its divisors is an integer number (10538255).

Almost surely, 2345025512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345025512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505836240).

345025512 is an abundant number, since it is smaller than the sum of its proper divisors (666646968).

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

345025512 is a wasteful number, since it uses less digits than its factorization.

345025512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1983 (or 1976 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 345025512 is about 18574.8623682653. The cubic root of 345025512 is about 701.3751958881.

The spelling of 345025512 in words is "three hundred forty-five million, twenty-five thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 211 234 312 422 468 633 844 936 1266 1688 1747 1899 2532 2743 3494 3798 5064 5241 5486 6988 7596 8229 10482 10972 13976 15192 15723 16458 20964 21944 22711 24687 31446 32916 41928 45422 49374 62892 65832 68133 90844 98748 125784 136266 181688 197496 204399 272532 368617 408798 545064 737234 817596 1105851 1474468 1635192 2211702 2948936 3317553 4423404 4792021 6635106 8846808 9584042 13270212 14376063 19168084 26540424 28752126 38336168 43128189 57504252 86256378 115008504 172512756 345025512