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2434307008 = 2679295849
BaseRepresentation
bin1001000100011000…
…1001001111000000
320021122120121102211
42101012021033000
514441140311013
61041315351504
7114216160660
oct22106111700
96248517384
102434307008
11103a114981
1257b2b2594
132ca43b163
141914301a0
15e3aa123d
hex911893c0

2434307008 has 56 divisors (see below), whose sum is σ = 5527548000. Its totient is φ = 1041973248.

The previous prime is 2434307003. The next prime is 2434307011. The reversal of 2434307008 is 8007034342.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2434307003) 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 7 ways as a sum of consecutive naturals, for example, 413268 + ... + 419116.

Almost surely, 22434307008 is an apocalyptic number.

2434307008 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2434307008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2763774000).

2434307008 is an abundant number, since it is smaller than the sum of its proper divisors (3093240992).

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

2434307008 is an equidigital number, since it uses as much as digits as its factorization.

2434307008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6797 (or 6787 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 31.

The square root of 2434307008 is about 49338.6968615913. The cubic root of 2434307008 is about 1345.2152533422.

The spelling of 2434307008 in words is "two billion, four hundred thirty-four million, three hundred seven thousand, eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 929 1858 3716 5849 6503 7432 11698 13006 14864 23396 26012 29728 40943 46792 52024 59456 81886 93584 104048 163772 187168 208096 327544 374336 416192 655088 1310176 2620352 5433721 10867442 21734884 38036047 43469768 76072094 86939536 152144188 173879072 304288376 347758144 608576752 1217153504 2434307008