Search a number
-
+
464342640 = 24351934761
BaseRepresentation
bin11011101011010…
…100111001110000
31012100202001100120
4123223110321300
51422332431030
6114024250240
714335563426
oct3353247160
91170661316
10464342640
11219122553
1210b610980
137527c078
1445953116
152ab73010
hex1bad4e70

464342640 has 40 divisors (see below), whose sum is σ = 1439462928. Its totient is φ = 123824640.

The previous prime is 464342623. The next prime is 464342677. The reversal of 464342640 is 46243464.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×4643426402 = 431228174644339200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 967141 + ... + 967620.

Almost surely, 2464342640 is an apocalyptic number.

464342640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

464342640 is an abundant number, since it is smaller than the sum of its proper divisors (975120288).

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

464342640 is a wasteful number, since it uses less digits than its factorization.

464342640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1934777 (or 1934771 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

The square root of 464342640 is about 21548.6110921331. The cubic root of 464342640 is about 774.3658440500.

The spelling of 464342640 in words is "four hundred sixty-four million, three hundred forty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1934761 3869522 5804283 7739044 9673805 11608566 15478088 19347610 23217132 29021415 30956176 38695220 46434264 58042830 77390440 92868528 116085660 154780880 232171320 464342640