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340106114574 = 23370112017481
BaseRepresentation
bin1001111001011111110…
…01110111011000001110
31012111212120122202002000
410330233321313120032
521033014131131244
6420124222213130
733400101163152
oct4745771673016
91174776582060
10340106114574
11121269042836
1255ab8a241a6
13260c1b85b55
1412665853062
158ca8657169
hex4f2fe7760e

340106114574 has 64 divisors (see below), whose sum is σ = 757600983360. Its totient is φ = 113097600000.

The previous prime is 340106114549. The next prime is 340106114581. The reversal of 340106114574 is 475411601043.

340106114574 is a `hidden beast` number, since 3 + 4 + 0 + 10 + 61 + 14 + 574 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45458914 + ... + 45466394.

It is an arithmetic number, because the mean of its divisors is an integer number (11837515365).

Almost surely, 2340106114574 is an apocalyptic number.

340106114574 is an abundant number, since it is smaller than the sum of its proper divisors (417494868786).

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

340106114574 is a wasteful number, since it uses less digits than its factorization.

340106114574 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9394 (or 9388 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 340106114574 in words is "three hundred forty billion, one hundred six million, one hundred fourteen thousand, five hundred seventy-four".

Divisors: 1 2 3 6 9 18 27 54 701 1201 1402 2103 2402 3603 4206 6309 7206 7481 10809 12618 14962 18927 21618 22443 32427 37854 44886 64854 67329 134658 201987 403974 841901 1683802 2525703 5051406 5244181 7577109 8984681 10488362 15154218 15732543 17969362 22731327 26954043 31465086 45462654 47197629 53908086 80862129 94395258 141592887 161724258 242586387 283185774 485172774 6298261381 12596522762 18894784143 37789568286 56684352429 113368704858 170053057287 340106114574