Search a number
-
+
345630310257 = 31731218614997
BaseRepresentation
bin1010000011110010010…
…10111111111101110001
31020001010120101221221010
411001321022333331301
521130322324412012
6422440321021133
733654020110011
oct5017112777561
91201116357833
10345630310257
11123643332811
1256b9aa847a9
13267924bb8ab
1412a2b3a7c41
158ecd605c3c
hex50792bff71

345630310257 has 16 divisors (see below), whose sum is σ = 503688955392. Its totient is φ = 209870396160.

The previous prime is 345630310253. The next prime is 345630310271. The reversal of 345630310257 is 752013036543.

It is not a de Polignac number, because 345630310257 - 22 = 345630310253 is a prime.

It is a super-2 number, since 2×3456303102572 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (345630310253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109305918 + ... + 109309079.

It is an arithmetic number, because the mean of its divisors is an integer number (31480559712).

Almost surely, 2345630310257 is an apocalyptic number.

It is an amenable number.

345630310257 is a deficient number, since it is larger than the sum of its proper divisors (158058645135).

345630310257 is a wasteful number, since it uses less digits than its factorization.

345630310257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218615048.

The product of its (nonzero) digits is 226800, while the sum is 39.

The spelling of 345630310257 in words is "three hundred forty-five billion, six hundred thirty million, three hundred ten thousand, two hundred fifty-seven".

Divisors: 1 3 17 31 51 93 527 1581 218614997 655844991 3716454949 6777064907 11149364847 20331194721 115210103419 345630310257