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345351357 = 38134049
BaseRepresentation
bin10100100101011…
…010010010111101
3220001211200000000
4110211122102331
51201402220412
654134024513
711362303161
oct2445322275
9801750000
10345351357
11167a3a64a
12977a8139
1356719320
1433c1aca1
15204bb4dc
hex1495a4bd

345351357 has 36 divisors (see below), whose sum is σ = 557984700. Its totient is φ = 212471424.

The previous prime is 345351341. The next prime is 345351397. The reversal of 345351357 is 753153543.

It can be written as a sum of positive squares in 2 ways, for example, as 66928761 + 278422596 = 8181^2 + 16686^2 .

It is not a de Polignac number, because 345351357 - 24 = 345351341 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345351397) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 83269 + ... + 87317.

It is an arithmetic number, because the mean of its divisors is an integer number (15499575).

Almost surely, 2345351357 is an apocalyptic number.

It is an amenable number.

345351357 is a deficient number, since it is larger than the sum of its proper divisors (212633343).

345351357 is an frugal number, since it uses more digits than its factorization.

345351357 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4086 (or 4065 counting only the distinct ones).

The product of its digits is 94500, while the sum is 36.

The square root of 345351357 is about 18583.6314266077. The cubic root of 345351357 is about 701.5959212988.

The spelling of 345351357 in words is "three hundred forty-five million, three hundred fifty-one thousand, three hundred fifty-seven".

Divisors: 1 3 9 13 27 39 81 117 243 351 729 1053 2187 3159 4049 6561 9477 12147 28431 36441 52637 85293 109323 157911 327969 473733 983907 1421199 2951721 4263597 8855163 12790791 26565489 38372373 115117119 345351357