Search a number
-
+
3140464635 = 335721143159
BaseRepresentation
bin1011101100101111…
…1010111111111011
322002212100010121000
42323023322333323
522412424332020
61235343020043
7140552336400
oct27313727773
98085303530
103140464635
11137178a620
1273789a623
133b08251c9
1421b12c2a7
15135a8d090
hexbb2faffb

3140464635 has 96 divisors (see below), whose sum is σ = 7085145600. Its totient is φ = 1305097920.

The previous prime is 3140464631. The next prime is 3140464661. The reversal of 3140464635 is 5364640413.

3140464635 is a `hidden beast` number, since 3 + 1 + 4 + 0 + 4 + 646 + 3 + 5 = 666.

It is not a de Polignac number, because 3140464635 - 22 = 3140464631 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3140464635.

It is not an unprimeable number, because it can be changed into a prime (3140464631) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51186 + ... + 94344.

It is an arithmetic number, because the mean of its divisors is an integer number (73803600).

Almost surely, 23140464635 is an apocalyptic number.

3140464635 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3140464635 is an abundant number, since it is smaller than the sum of its proper divisors (3944680965).

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

3140464635 is a wasteful number, since it uses less digits than its factorization.

3140464635 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43198 (or 43185 counting only the distinct ones).

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

The square root of 3140464635 is about 56039.8486346992. The cubic root of 3140464635 is about 1464.4165747155.

The spelling of 3140464635 in words is "three billion, one hundred forty million, four hundred sixty-four thousand, six hundred thirty-five".

Divisors: 1 3 5 7 9 11 15 21 27 33 35 45 49 55 63 77 99 105 135 147 165 189 231 245 297 315 385 441 495 539 693 735 945 1155 1323 1485 1617 2079 2205 2695 3465 4851 6615 8085 10395 14553 24255 43159 72765 129477 215795 302113 388431 474749 647385 906339 1165293 1424247 1510565 1942155 2114791 2373745 2719017 3323243 4272741 4531695 5826465 6344373 7121235 8157051 9969729 10573955 12818223 13595085 16616215 19033119 21363705 23262701 29909187 31721865 40785255 49848645 57099357 64091115 69788103 89727561 95165595 116313505 149545935 209364309 285496785 348940515 448637805 628092927 1046821545 3140464635