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342813542580 = 2232522357114957
BaseRepresentation
bin1001111110100010100…
…01111000100010110100
31012202212021011100002100
410333101101320202310
521104040231330310
6421253015542100
733524145014235
oct4772121704264
91182767140070
10342813542580
11122428342543
125653368a930
1326433a70562
141284125b08c
158db61a7ec0
hex4fd14788b4

342813542580 has 144 divisors (see below), whose sum is σ = 1046430088704. Its totient is φ = 90841547520.

The previous prime is 342813542569. The next prime is 342813542609. The reversal of 342813542580 is 85245318243.

342813542580 is a `hidden beast` number, since 3 + 4 + 2 + 8 + 13 + 54 + 2 + 580 = 666.

It is a super-2 number, since 2×3428135425802 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 22912462 + ... + 22927418.

It is an arithmetic number, because the mean of its divisors is an integer number (7266875616).

Almost surely, 2342813542580 is an apocalyptic number.

342813542580 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342813542580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523215044352).

342813542580 is an abundant number, since it is smaller than the sum of its proper divisors (703616546124).

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

342813542580 is a wasteful number, since it uses less digits than its factorization.

342813542580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15766 (or 15761 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 342813542580 in words is "three hundred forty-two billion, eight hundred thirteen million, five hundred forty-two thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 223 446 571 669 892 1115 1142 1338 1713 2007 2230 2284 2676 2855 3345 3426 4014 4460 5139 5710 6690 6852 8028 8565 10035 10278 11420 13380 14957 17130 20070 20556 25695 29914 34260 40140 44871 51390 59828 74785 89742 102780 127333 134613 149570 179484 224355 254666 269226 299140 381999 448710 509332 538452 636665 673065 763998 897420 1145997 1273330 1346130 1527996 1909995 2291994 2546660 2692260 3335411 3819990 4583988 5729985 6670822 7639980 8540447 10006233 11459970 13341644 16677055 17080894 20012466 22919940 25621341 30018699 33354110 34161788 40024932 42702235 50031165 51242682 60037398 66708220 76864023 85404470 100062330 102485364 120074796 128106705 150093495 153728046 170808940 200124660 256213410 300186990 307456092 384320115 512426820 600373980 768640230 1537280460 1904519681 3809039362 5713559043 7618078724 9522598405 11427118086 17140677129 19045196810 22854236172 28567795215 34281354258 38090393620 57135590430 68562708516 85703385645 114271180860 171406771290 342813542580