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345864225 = 35272328643
BaseRepresentation
bin10100100111010…
…111100000100001
3220002210201112010
4110213113200201
51202020123400
654153023133
711366540340
oct2447274041
9802721463
10345864225
1116825aa03
12979b4aa9
13568688b5
1433d11b57
152056d450
hex149d7821

345864225 has 48 divisors (see below), whose sum is σ = 681956352. Its totient is φ = 151229760.

The previous prime is 345864221. The next prime is 345864227. The reversal of 345864225 is 522468543.

It is not a de Polignac number, because 345864225 - 22 = 345864221 is a prime.

It is not an unprimeable number, because it can be changed into a prime (345864221) 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 47 ways as a sum of consecutive naturals, for example, 2247 + ... + 26396.

It is an arithmetic number, because the mean of its divisors is an integer number (14207424).

Almost surely, 2345864225 is an apocalyptic number.

345864225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

345864225 is a deficient number, since it is larger than the sum of its proper divisors (336092127).

345864225 is a wasteful number, since it uses less digits than its factorization.

345864225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28686 (or 28681 counting only the distinct ones).

The product of its digits is 230400, while the sum is 39.

The square root of 345864225 is about 18597.4252250143. The cubic root of 345864225 is about 701.9430538786.

The spelling of 345864225 in words is "three hundred forty-five million, eight hundred sixty-four thousand, two hundred twenty-five".

Divisors: 1 3 5 7 15 21 23 25 35 69 75 105 115 161 175 345 483 525 575 805 1725 2415 4025 12075 28643 85929 143215 200501 429645 601503 658789 716075 1002505 1976367 2148225 3007515 3293945 4611523 5012525 9881835 13834569 15037575 16469725 23057615 49409175 69172845 115288075 345864225