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340879723164 = 223410161716883
BaseRepresentation
bin1001111010111100000…
…00111100101010011100
31012120212111100010120000
410331132000330222130
521041110202120124
6420333055254300
733425213560611
oct4753600745234
91176774303500
10340879723164
11121625798382
1256093b1a390
13261b6228406
14126da4ac508
158d015196c9
hex4f5e03ca9c

340879723164 has 120 divisors (see below), whose sum is σ = 901461950928. Its totient is φ = 112312569600.

The previous prime is 340879723141. The next prime is 340879723181. The reversal of 340879723164 is 461327978043.

340879723164 is a `hidden beast` number, since 3 + 408 + 7 + 9 + 72 + 3 + 164 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 340879723164.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20182267 + ... + 20199149.

Almost surely, 2340879723164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340879723164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450730975464).

340879723164 is an abundant number, since it is smaller than the sum of its proper divisors (560582227764).

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

340879723164 is a wasteful number, since it uses less digits than its factorization.

340879723164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17617 (or 17606 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 340879723164 in words is "three hundred forty billion, eight hundred seventy-nine million, seven hundred twenty-three thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 101 108 162 202 303 324 404 606 617 909 1212 1234 1818 1851 2468 2727 3636 3702 5454 5553 7404 8181 10908 11106 16362 16659 16883 22212 32724 33318 33766 49977 50649 62317 66636 67532 99954 101298 124634 151947 186951 199908 202596 249268 303894 373902 455841 560853 607788 747804 911682 1121706 1367523 1682559 1705183 1823364 2243412 2735046 3365118 3410366 5047677 5115549 5470092 6730236 6820732 10095354 10231098 10416811 15346647 20190708 20462196 20833622 30693294 31250433 41667244 46039941 61386588 62500866 92079882 93751299 125001732 138119823 184159764 187502598 276239646 281253897 375005196 552479292 562507794 843761691 1052097911 1125015588 1687523382 2104195822 3156293733 3375046764 4208391644 6312587466 9468881199 12625174932 18937762398 28406643597 37875524796 56813287194 85219930791 113626574388 170439861582 340879723164