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345774663 = 3513234759
BaseRepresentation
bin10100100111000…
…001101001000111
3220002122011200000
4110213001221013
51202004242123
654151052343
711366015253
oct2447015107
9802564600
10345774663
111681a9693
12979710b3
1356836bc0
1433ccb263
1520551b43
hex149c1a47

345774663 has 48 divisors (see below), whose sum is σ = 582167040. Its totient is φ = 203490144.

The previous prime is 345774659. The next prime is 345774683. The reversal of 345774663 is 366477543.

345774663 is a `hidden beast` number, since 34 + 577 + 46 + 6 + 3 = 666.

It is not a de Polignac number, because 345774663 - 22 = 345774659 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345774623) 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, 70278 + ... + 75036.

It is an arithmetic number, because the mean of its divisors is an integer number (12128480).

Almost surely, 2345774663 is an apocalyptic number.

345774663 is a deficient number, since it is larger than the sum of its proper divisors (236392377).

345774663 is a wasteful number, since it uses less digits than its factorization.

345774663 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4810 (or 4798 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 45.

The square root of 345774663 is about 18595.0171551413. The cubic root of 345774663 is about 701.8824589528.

The spelling of 345774663 in words is "three hundred forty-five million, seven hundred seventy-four thousand, six hundred sixty-three".

Divisors: 1 3 9 13 23 27 39 69 81 117 207 243 299 351 621 897 1053 1863 2691 3159 4759 5589 8073 14277 24219 42831 61867 72657 109457 128493 185601 328371 385479 556803 985113 1156437 1422941 1670409 2955339 4268823 5011227 8866017 12806469 15033681 26598051 38419407 115258221 345774663