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2434671140 = 2251170115787
BaseRepresentation
bin1001000100011110…
…0010001000100100
320021200021002221012
42101013202020210
514441233434030
61041331241352
7114222235406
oct22107421044
96250232835
102434671140
11103a343510
1257b449258
132ca537b15
141914c6b76
15e3b24095
hex911e2224

2434671140 has 48 divisors (see below), whose sum is σ = 5585920704. Its totient is φ = 884016000.

The previous prime is 2434671097. The next prime is 2434671157. The reversal of 2434671140 is 411764342.

It is a junction number, because it is equal to n+sod(n) for n = 2434671097 and 2434671106.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 146327 + ... + 162113.

It is an arithmetic number, because the mean of its divisors is an integer number (116373348).

Almost surely, 22434671140 is an apocalyptic number.

2434671140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2434671140 is an abundant number, since it is smaller than the sum of its proper divisors (3151249564).

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

2434671140 is a wasteful number, since it uses less digits than its factorization.

2434671140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16508 (or 16506 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 2434671140 is about 49342.3868494421. The cubic root of 2434671140 is about 1345.2823239702.

The spelling of 2434671140 in words is "two billion, four hundred thirty-four million, six hundred seventy-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 701 1402 2804 3505 7010 7711 14020 15422 15787 30844 31574 38555 63148 77110 78935 154220 157870 173657 315740 347314 694628 868285 1736570 3473140 11066687 22133374 44266748 55333435 110666870 121733557 221333740 243467114 486934228 608667785 1217335570 2434671140