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342116250336 = 25327169700521
BaseRepresentation
bin1001111101001111011…
…01111011001011100000
31012201001200002012221200
410332213231323023200
521101123230002321
6421055510321200
733500650101240
oct4764755731340
91181050065850
10342116250336
111220aa782563
125637a059200
132635246b7b3
14127b67c9b20
158d74d6cd26
hex4fa7b7b2e0

342116250336 has 72 divisors (see below), whose sum is σ = 1111877820144. Its totient is φ = 97747499520.

The previous prime is 342116250331. The next prime is 342116250353. The reversal of 342116250336 is 633052611243.

342116250336 is a `hidden beast` number, since 3 + 4 + 2 + 116 + 2 + 503 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×3421162503362 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 342116250336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342116250331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84848245 + ... + 84852276.

It is an arithmetic number, because the mean of its divisors is an integer number (15442747502).

Almost surely, 2342116250336 is an apocalyptic number.

342116250336 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

342116250336 is an abundant number, since it is smaller than the sum of its proper divisors (769761569808).

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

342116250336 is a wasteful number, since it uses less digits than its factorization.

342116250336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169700544 (or 169700533 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

Adding to 342116250336 its reverse (633052611243), we get a palindrome (975168861579).

The spelling of 342116250336 in words is "three hundred forty-two billion, one hundred sixteen million, two hundred fifty thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 169700521 339401042 509101563 678802084 1018203126 1187903647 1357604168 1527304689 2036406252 2375807294 2715208336 3054609378 3563710941 4072812504 4751614588 5430416672 6109218756 7127421882 8145625008 9503229176 10691132823 12218437512 14254843764 16291250016 19006458352 21382265646 24436875024 28509687528 38012916704 42764531292 48873750048 57019375056 85529062584 114038750112 171058125168 342116250336