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345312065 = 5723074591
BaseRepresentation
bin10100100101010…
…000101101000001
3220001202200002202
4110211100231001
51201344441230
654133122545
711362050500
oct2445205501
9801680082
10345312065
11167a1307a
1297789455
1356704487
1433c0a837
15204aea45
hex14950b41

345312065 has 24 divisors (see below), whose sum is σ = 483702912. Its totient is φ = 235962720.

The previous prime is 345312049. The next prime is 345312089. The reversal of 345312065 is 560213543.

It is not a de Polignac number, because 345312065 - 24 = 345312049 is a prime.

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 23 ways as a sum of consecutive naturals, for example, 72920 + ... + 77510.

It is an arithmetic number, because the mean of its divisors is an integer number (20154288).

Almost surely, 2345312065 is an apocalyptic number.

345312065 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

345312065 is a deficient number, since it is larger than the sum of its proper divisors (138390847).

345312065 is a wasteful number, since it uses less digits than its factorization.

345312065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4917 (or 4910 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 29.

The square root of 345312065 is about 18582.5742296378. The cubic root of 345312065 is about 701.5693125017.

The spelling of 345312065 in words is "three hundred forty-five million, three hundred twelve thousand, sixty-five".

Divisors: 1 5 7 35 49 245 307 1535 2149 4591 10745 15043 22955 32137 75215 160685 224959 1124795 1409437 7047185 9866059 49330295 69062413 345312065