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342675598225 = 52474532
BaseRepresentation
bin1001111110010010000…
…11101010101110010001
31012202111122121001000011
410333021003222232101
521103244423120400
6421231211154521
733520551345142
oct4771103525621
91182448531004
10342675598225
11122367494944
12564b5445a41
1326411302a8c
141282abcdac9
158da900a8ba
hex4fc90eab91

342675598225 has 45 divisors (see below), whose sum is σ = 442501246033. Its totient is φ = 263245292960.

The previous prime is 342675598211. The next prime is 342675598271. The reversal of 342675598225 is 522895576243.

The square root of 342675598225 is 585385.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2581351249 + 340094246976 = 50807^2 + 583176^2 .

It is not a de Polignac number, because 342675598225 - 215 = 342675565457 is a prime.

It is a Duffinian number.

Its product of digits (36288000) is a multiple of the sum of its prime divisors (105).

It is a self number, because there is not a number n which added to its sum of digits gives 342675598225.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 6465577299 + ... + 6465577351.

Almost surely, 2342675598225 is an apocalyptic number.

342675598225 is the 585385-th square number.

342675598225 is the 292693-rd centered octagonal number.

It is an amenable number.

342675598225 is a deficient number, since it is larger than the sum of its proper divisors (99825647808).

342675598225 is an frugal number, since it uses more digits than its factorization.

342675598225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 105 counting only the distinct ones).

The product of its digits is 36288000, while the sum is 58.

It can be divided in two parts, 342675 and 598225, that added together give a square (940900 = 9702).

The spelling of 342675598225 in words is "three hundred forty-two billion, six hundred seventy-five million, five hundred ninety-eight thousand, two hundred twenty-five".

Divisors: 1 5 25 47 53 235 265 1175 1325 2209 2491 2809 11045 12455 14045 55225 62275 70225 103823 117077 132023 519115 585385 660115 2595575 2926925 3300575 4879681 5502619 6205081 24398405 27513095 31025405 121992025 137565475 155127025 258623093 291638807 1293115465 1458194035 6465577325 7290970175 13707023929 68535119645 342675598225