Search a number
-
+
245660364 = 2235252737
BaseRepresentation
bin11101010010001…
…11101011001100
3122010020211200000
432221013223030
51000342112424
640213204300
76042035655
oct1651075314
9563224600
10245660364
1111673a2a4
126a330690
133bb83381
14248aa52c
15168783c9
hexea47acc

245660364 has 36 divisors (see below), whose sum is σ = 643976424. Its totient is φ = 81886464.

The previous prime is 245660351. The next prime is 245660369. The reversal of 245660364 is 463066542.

245660364 is a `hidden beast` number, since 2 + 45 + 6 + 603 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×2456603642 = 120698028881224992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (245660369) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 125397 + ... + 127340.

It is an arithmetic number, because the mean of its divisors is an integer number (17888234).

Almost surely, 2245660364 is an apocalyptic number.

It is an amenable number.

245660364 is an abundant number, since it is smaller than the sum of its proper divisors (398316060).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

245660364 is a wasteful number, since it uses less digits than its factorization.

245660364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252756 (or 252742 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 245660364 is about 15673.5562014496. The cubic root of 245660364 is about 626.2941623272.

The spelling of 245660364 in words is "two hundred forty-five million, six hundred sixty thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 972 252737 505474 758211 1010948 1516422 2274633 3032844 4549266 6823899 9098532 13647798 20471697 27295596 40943394 61415091 81886788 122830182 245660364