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2434368804 = 223724396281
BaseRepresentation
bin1001000100011001…
…1000010100100100
320021122200202012120
42101012120110210
514441144300204
61041320545540
7114216536100
oct22106302444
96248622176
102434368804
11103a15734a
1257b3222b0
132ca46031a
14191448900
15e3ab46d9
hex91198524

2434368804 has 72 divisors (see below), whose sum is σ = 6761307168. Its totient is φ = 679351680.

The previous prime is 2434368803. The next prime is 2434368869. The reversal of 2434368804 is 4088634342.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (2434368803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22857 + ... + 73424.

It is an arithmetic number, because the mean of its divisors is an integer number (93907044).

Almost surely, 22434368804 is an apocalyptic number.

It is an amenable number.

2434368804 is an abundant number, since it is smaller than the sum of its proper divisors (4326938364).

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

2434368804 is a wasteful number, since it uses less digits than its factorization.

2434368804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96345 (or 96336 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 42.

The square root of 2434368804 is about 49339.3231003426. The cubic root of 2434368804 is about 1345.2266362147.

The spelling of 2434368804 in words is "two billion, four hundred thirty-four million, three hundred sixty-eight thousand, eight hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 49 84 86 98 129 147 172 196 258 294 301 516 588 602 903 1204 1806 2107 3612 4214 6321 8428 12642 25284 96281 192562 288843 385124 577686 673967 1155372 1347934 2021901 2695868 4043802 4140083 4717769 8087604 8280166 9435538 12420249 14153307 16560332 18871076 24840498 28306614 28980581 49680996 56613228 57961162 86941743 115922324 173883486 202864067 347766972 405728134 608592201 811456268 1217184402 2434368804