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2430344140 = 2257217145879
BaseRepresentation
bin1001000011011100…
…0001101111001100
320021101010021101221
42100313001233030
514434132003030
61041054413124
7114140404300
oct22067015714
96241107357
102430344140
111037958584
12579b011a4
132c9681473
14190abbd00
15e356be7a
hex90dc1bcc

2430344140 has 72 divisors (see below), whose sum is σ = 6286260960. Its totient is φ = 784240128.

The previous prime is 2430344117. The next prime is 2430344177. The reversal of 2430344140 is 414430342.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56280 + ... + 89599.

It is an arithmetic number, because the mean of its divisors is an integer number (87309180).

Almost surely, 22430344140 is an apocalyptic number.

2430344140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2430344140 is an abundant number, since it is smaller than the sum of its proper divisors (3855916820).

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

2430344140 is a wasteful number, since it uses less digits than its factorization.

2430344140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145919 (or 145910 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 2430344140 is about 49298.5206674602. The cubic root of 2430344140 is about 1344.4848872524.

Adding to 2430344140 its reverse (414430342), we get a palindrome (2844774482).

The spelling of 2430344140 in words is "two billion, four hundred thirty million, three hundred forty-four thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 49 68 70 85 98 119 140 170 196 238 245 340 476 490 595 833 980 1190 1666 2380 3332 4165 8330 16660 145879 291758 583516 729395 1021153 1458790 2042306 2479943 2917580 4084612 4959886 5105765 7148071 9919772 10211530 12399715 14296142 17359601 20423060 24799430 28592284 34719202 35740355 49598860 69438404 71480710 86798005 121517207 142961420 173596010 243034414 347192020 486068828 607586035 1215172070 2430344140