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258608341 = 29261712
BaseRepresentation
bin11110110101000…
…00110011010101
3200000121122221201
433122200303111
51012200431331
641354512501
76260064115
oct1732406325
9600548851
10258608341
11122a83302
1272735731
13417679b4
14264bb045
1517a84a61
hexf6a0cd5

258608341 has 18 divisors (see below), whose sum is σ = 276112226. Its totient is φ = 242138400.

The previous prime is 258608327. The next prime is 258608353. The reversal of 258608341 is 143806852.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 3407716 + 255200625 = 1846^2 + 15975^2 .

It is not a de Polignac number, because 258608341 - 25 = 258608309 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 258608341.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258608381) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3642336 + ... + 3642406.

Almost surely, 2258608341 is an apocalyptic number.

It is an amenable number.

258608341 is a deficient number, since it is larger than the sum of its proper divisors (17503885).

258608341 is an frugal number, since it uses more digits than its factorization.

258608341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The square root of 258608341 is about 16081.3040826918. The cubic root of 258608341 is about 637.1096395789.

The spelling of 258608341 in words is "two hundred fifty-eight million, six hundred eight thousand, three hundred forty-one".

Divisors: 1 29 61 71 841 1769 2059 4331 5041 51301 59711 125599 146189 307501 3642371 4239481 8917529 258608341