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345430395 = 325174310501
BaseRepresentation
bin10100100101101…
…101100101111011
3220001222200102100
4110211231211323
51201412233040
654135434443
711363052462
oct2445554573
9801880370
10345430395
11167a93a72
1297825a23
13567462ab
1433c3b9d9
15204d4b30
hex1496d97b

345430395 has 48 divisors (see below), whose sum is σ = 648771552. Its totient is φ = 169344000.

The previous prime is 345430343. The next prime is 345430411. The reversal of 345430395 is 593034543.

It is a happy number.

345430395 is a `hidden beast` number, since 345 + 4 + 303 + 9 + 5 = 666.

It is not a de Polignac number, because 345430395 - 29 = 345429883 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27645 + ... + 38145.

It is an arithmetic number, because the mean of its divisors is an integer number (13516074).

Almost surely, 2345430395 is an apocalyptic number.

345430395 is a deficient number, since it is larger than the sum of its proper divisors (303341157).

345430395 is a wasteful number, since it uses less digits than its factorization.

345430395 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10572 (or 10569 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

The square root of 345430395 is about 18585.7578537976. The cubic root of 345430395 is about 701.6494402320.

The spelling of 345430395 in words is "three hundred forty-five million, four hundred thirty thousand, three hundred ninety-five".

Divisors: 1 3 5 9 15 17 43 45 51 85 129 153 215 255 387 645 731 765 1935 2193 3655 6579 10501 10965 31503 32895 52505 94509 157515 178517 451543 472545 535551 892585 1354629 1606653 2257715 2677755 4063887 6773145 7676231 8033265 20319435 23028693 38381155 69086079 115143465 345430395