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342605355625 = 5413218012
BaseRepresentation
bin1001111110001001101…
…11101101101001101001
31012202022202102100021101
410333010313231221221
521103123432340000
6421220221441401
733516036321211
oct4770467555151
91182282370241
10342605355625
11122330878605
1256495a10261
13263cc8aaa00
1412821747241
158da2c82e6a
hex4fc4deda69

342605355625 has 45 divisors (see below), whose sum is σ = 463842732969. Its totient is φ = 252860400000.

The previous prime is 342605355623. The next prime is 342605355641. The reversal of 342605355625 is 526553506243.

The square root of 342605355625 is 585325.

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

It can be written as a sum of positive squares in 22 ways, for example, as 72957791449 + 269647564176 = 270107^2 + 519276^2 .

It is not a de Polignac number, because 342605355625 - 21 = 342605355623 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (342605355623) 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 44 ways as a sum of consecutive naturals, for example, 190229725 + ... + 190231525.

Almost surely, 2342605355625 is an apocalyptic number.

342605355625 is the 585325-th square number.

342605355625 is the 292663-rd centered octagonal number.

It is an amenable number.

342605355625 is a deficient number, since it is larger than the sum of its proper divisors (121237377344).

342605355625 is an frugal number, since it uses more digits than its factorization.

342605355625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3648 (or 1819 counting only the distinct ones).

The product of its (nonzero) digits is 3240000, while the sum is 46.

The spelling of 342605355625 in words is "three hundred forty-two billion, six hundred five million, three hundred fifty-five thousand, six hundred twenty-five".

Divisors: 1 5 13 25 65 125 169 325 625 845 1625 1801 4225 8125 9005 21125 23413 45025 105625 117065 225125 304369 585325 1125625 1521845 2926625 3243601 7609225 14633125 16218005 38046125 42166813 81090025 190230625 210834065 405450125 548168569 1054170325 2027250625 2740842845 5270851625 13704214225 26354258125 68521071125 342605355625