Search a number
-
+
58668345 = 3251303741
BaseRepresentation
bin1101111111001…
…1010100111001
311002101122211200
43133303110321
5110004341340
65453244413
71311446511
oct337632471
9132348750
1058668345
113013143a
1217793709
13c201ac8
147b12841
15523d330
hex37f3539

58668345 has 12 divisors (see below), whose sum is σ = 101691876. Its totient is φ = 31289760.

The previous prime is 58668329. The next prime is 58668353. The reversal of 58668345 is 54386685.

58668345 is a `hidden beast` number, since 586 + 68 + 3 + 4 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 35426304 + 23242041 = 5952^2 + 4821^2 .

It is not a de Polignac number, because 58668345 - 24 = 58668329 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 1303741 = 58668345 / (5 + 8 + 6 + 6 + 8 + 3 + 4 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 58668345.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 651826 + ... + 651915.

It is an arithmetic number, because the mean of its divisors is an integer number (8474323).

Almost surely, 258668345 is an apocalyptic number.

It is an amenable number.

58668345 is a deficient number, since it is larger than the sum of its proper divisors (43023531).

58668345 is a wasteful number, since it uses less digits than its factorization.

58668345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1303752 (or 1303749 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 58668345 is about 7659.5264213919. The cubic root of 58668345 is about 388.5688175325.

The spelling of 58668345 in words is "fifty-eight million, six hundred sixty-eight thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 45 1303741 3911223 6518705 11733669 19556115 58668345