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342977590225 = 52101233582973
BaseRepresentation
bin1001111110110110000…
…11101011001111010001
31012210021200211211011001
410333123003223033101
521104404230341400
6421321200022001
733531206262244
oct4773303531721
91183250754131
10342977590225
111225019a9a06
125657a601901
132645ba4a47a
1412858d6125b
158dc57aea6a
hex4fdb0eb3d1

342977590225 has 24 divisors (see below), whose sum is σ = 431347126392. Its totient is φ = 270499008000.

The previous prime is 342977590183. The next prime is 342977590259. The reversal of 342977590225 is 522095779243.

It can be written as a sum of positive squares in 12 ways, for example, as 15792446224 + 327185144001 = 125668^2 + 572001^2 .

It is a de Polignac number, because none of the positive numbers 2k-342977590225 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 296839 + ... + 879811.

It is an arithmetic number, because the mean of its divisors is an integer number (17972796933).

Almost surely, 2342977590225 is an apocalyptic number.

It is an amenable number.

342977590225 is a deficient number, since it is larger than the sum of its proper divisors (88369536167).

342977590225 is a wasteful number, since it uses less digits than its factorization.

342977590225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583317 (or 583312 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 55.

The spelling of 342977590225 in words is "three hundred forty-two billion, nine hundred seventy-seven million, five hundred ninety thousand, two hundred twenty-five".

Divisors: 1 5 25 101 233 505 1165 2525 5825 23533 117665 582973 588325 2914865 14574325 58880273 135832709 294401365 679163545 1472006825 3395817725 13719103609 68595518045 342977590225