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345361063014 = 233112819206249
BaseRepresentation
bin1010000011010010001…
…11111001110001100110
31020000102210202210011000
411001221013321301212
521124244413004024
6422353502054130
733644240412432
oct5015107716146
91200383683130
10345361063014
11123515353330
1256b2487a346
132674b79a5b6
1412a0371b9c2
158eb4b6dcc9
hex50691f9c66

345361063014 has 64 divisors (see below), whose sum is σ = 837540000000. Its totient is φ = 104617235520.

The previous prime is 345361062973. The next prime is 345361063057. The reversal of 345361063014 is 410360163543.

345361063014 is a `hidden beast` number, since 3 + 4 + 5 + 3 + 6 + 1 + 0 + 630 + 14 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 345361063014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1571362 + ... + 1777610.

It is an arithmetic number, because the mean of its divisors is an integer number (13086562500).

Almost surely, 2345361063014 is an apocalyptic number.

345361063014 is an abundant number, since it is smaller than the sum of its proper divisors (492178936986).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

345361063014 is a wasteful number, since it uses less digits than its factorization.

345361063014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209090 (or 209084 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 345361063014 in words is "three hundred forty-five billion, three hundred sixty-one million, sixty-three thousand, fourteen".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 2819 5638 8457 16914 25371 31009 50742 62018 76113 93027 152226 186054 206249 279081 412498 558162 618747 837243 1237494 1674486 1856241 2268739 3712482 4537478 5568723 6806217 11137446 13612434 20418651 40837302 61255953 122511906 581415931 1162831862 1744247793 3488495586 5232743379 6395575241 10465486758 12791150482 15698230137 19186725723 31396460274 38373451446 57560177169 115120354338 172680531507 345361063014