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342177312 = 25311173191
BaseRepresentation
bin10100011001010…
…011011000100000
3212211212102000210
4110121103120200
51200044133222
653542014120
711323313331
oct2431233040
9784772023
10342177312
11166171974
1296717340
1355b776a9
1433632288
1520090d0c
hex14653620

342177312 has 48 divisors (see below), whose sum is σ = 899301312. Its totient is φ = 113921280.

The previous prime is 342177307. The next prime is 342177323. The reversal of 342177312 is 213771243.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 342177312.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105637 + ... + 108827.

It is an arithmetic number, because the mean of its divisors is an integer number (18735444).

Almost surely, 2342177312 is an apocalyptic number.

342177312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

342177312 is an abundant number, since it is smaller than the sum of its proper divisors (557124000).

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

342177312 is a wasteful number, since it uses less digits than its factorization.

342177312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4321 (or 4313 counting only the distinct ones).

The product of its digits is 7056, while the sum is 30.

The square root of 342177312 is about 18498.0353551397. The cubic root of 342177312 is about 699.4399002593.

The spelling of 342177312 in words is "three hundred forty-two million, one hundred seventy-seven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1117 2234 3191 3351 4468 6382 6702 8936 9573 12764 13404 17872 19146 25528 26808 35744 38292 51056 53616 76584 102112 107232 153168 306336 3564347 7128694 10693041 14257388 21386082 28514776 42772164 57029552 85544328 114059104 171088656 342177312