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342642254280 = 233510933137907
BaseRepresentation
bin1001111110001110001…
…00011110000111001000
31012202102022211222201020
410333013010132013020
521103212404114110
6421224020352440
733516665051364
oct4770704360710
91182368758636
10342642254280
1112234a690067
12564a6245720
1326407429a31
14128265d02a4
158da6120d70
hex4fc711e1c8

342642254280 has 128 divisors (see below), whose sum is σ = 1037801635200. Its totient is φ = 90494226432.

The previous prime is 342642254249. The next prime is 342642254281. The reversal of 342642254280 is 82452246243.

It is not an unprimeable number, because it can be changed into a prime (342642254281) by changing a digit.

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, 43330087 + ... + 43337993.

It is an arithmetic number, because the mean of its divisors is an integer number (8107825275).

Almost surely, 2342642254280 is an apocalyptic number.

342642254280 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 342642254280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518900817600).

342642254280 is an abundant number, since it is smaller than the sum of its proper divisors (695159380920).

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

342642254280 is a wasteful number, since it uses less digits than its factorization.

342642254280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11343 (or 11339 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 42.

The spelling of 342642254280 in words is "three hundred forty-two billion, six hundred forty-two million, two hundred fifty-four thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 109 120 218 327 436 545 654 872 1090 1308 1635 2180 2616 3270 3313 4360 6540 6626 7907 9939 13080 13252 15814 16565 19878 23721 26504 31628 33130 39535 39756 47442 49695 63256 66260 79070 79512 94884 99390 118605 132520 158140 189768 198780 237210 316280 361117 397560 474420 722234 861863 948840 1083351 1444468 1723726 1805585 2166702 2585589 2888936 3447452 3611170 4309315 4333404 5171178 5416755 6894904 7222340 8618630 8666808 10342356 10833510 12927945 14444680 17237260 20684712 21667020 25855890 26195891 34474520 43334040 51711780 52391782 78587673 103423560 104783564 130979455 157175346 209567128 261958910 314350692 392938365 523917820 628701384 785876730 1047835640 1571753460 2855352119 3143506920 5710704238 8566056357 11421408476 14276760595 17132112714 22842816952 28553521190 34264225428 42830281785 57107042380 68528450856 85660563570 114214084760 171321127140 342642254280