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342172571304 = 23317291953681
BaseRepresentation
bin1001111101010110001…
…00110001011010101000
31012201012121001121210110
410332223010301122220
521101232134240204
6421105241414320
733502232603304
oct4765304613250
91181177047713
10342172571304
11122129550313
1256394a9a3a0
132636102b005
14127c008ad04
158d79c95889
hex4fab1316a8

342172571304 has 96 divisors (see below), whose sum is σ = 909716644800. Its totient is φ = 107229450240.

The previous prime is 342172571267. The next prime is 342172571329. The reversal of 342172571304 is 403175271243.

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 23 ways as a sum of consecutive naturals, for example, 6347344 + ... + 6401024.

It is an arithmetic number, because the mean of its divisors is an integer number (9476215050).

Almost surely, 2342172571304 is an apocalyptic number.

342172571304 is a gapful number since it is divisible by the number (34) 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 342172571304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454858322400).

342172571304 is an abundant number, since it is smaller than the sum of its proper divisors (567544073496).

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

342172571304 is a wasteful number, since it uses less digits than its factorization.

342172571304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54643 (or 54622 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 39.

The spelling of 342172571304 in words is "three hundred forty-two billion, one hundred seventy-two million, five hundred seventy-one thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 289 408 578 867 919 1156 1734 1838 2312 2757 3468 3676 5514 6936 7352 11028 15623 22056 31246 46869 53681 62492 93738 107362 124984 161043 187476 214724 265591 322086 374952 429448 531182 644172 796773 912577 1062364 1288344 1593546 1825154 2124728 2737731 3187092 3650308 5475462 6374184 7300616 10950924 15513809 21901848 31027618 46541427 49332839 62055236 93082854 98665678 124110472 147998517 186165708 197331356 295997034 372331416 394662712 591994068 838658263 1183988136 1677316526 2515974789 3354633052 5031949578 6709266104 10063899156 14257190471 20127798312 28514380942 42771571413 57028761884 85543142826 114057523768 171086285652 342172571304