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2404634064 = 243729246781
BaseRepresentation
bin1000111101010011…
…1100110111010000
320012120202001210220
42033110330313100
514411041242224
61034335353040
7113406023640
oct21724746720
96176661726
102404634064
111024398188
12571382780
132c424bcc1
1418b508520
15e118e279
hex8f53cdd0

2404634064 has 80 divisors (see below), whose sum is σ = 7344232320. Its totient is φ = 663344640.

The previous prime is 2404634059. The next prime is 2404634083. The reversal of 2404634064 is 4604364042.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 113647 + ... + 133134.

It is an arithmetic number, because the mean of its divisors is an integer number (91802904).

Almost surely, 22404634064 is an apocalyptic number.

2404634064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2404634064 is an abundant number, since it is smaller than the sum of its proper divisors (4939598256).

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

2404634064 is a wasteful number, since it uses less digits than its factorization.

2404634064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246828 (or 246822 counting only the distinct ones).

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

The square root of 2404634064 is about 49037.0682647321. The cubic root of 2404634064 is about 1339.7270670084.

The spelling of 2404634064 in words is "two billion, four hundred four million, six hundred thirty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 42 48 56 58 84 87 112 116 168 174 203 232 336 348 406 464 609 696 812 1218 1392 1624 2436 3248 4872 9744 246781 493562 740343 987124 1480686 1727467 1974248 2961372 3454934 3948496 5182401 5922744 6909868 7156649 10364802 11845488 13819736 14313298 20729604 21469947 27639472 28626596 41459208 42939894 50096543 57253192 82918416 85879788 100193086 114506384 150289629 171759576 200386172 300579258 343519152 400772344 601158516 801544688 1202317032 2404634064