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2340400304 = 2411312511709
BaseRepresentation
bin1000101101111111…
…1010110010110000
320001002212122122202
42023133322302300
514243120302204
61024122522332
7111666034334
oct21337726260
96032778582
102340400304
11aa1105430
125539663a8
132b3b4bc68
14182b877c4
15da701e1e
hex8b7facb0

2340400304 has 80 divisors (see below), whose sum is σ = 5129671680. Its totient is φ = 1024800000.

The previous prime is 2340400261. The next prime is 2340400327. The reversal of 2340400304 is 4030040432.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1368602 + ... + 1370310.

It is an arithmetic number, because the mean of its divisors is an integer number (64120896).

Almost surely, 22340400304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2340400304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2564835840).

2340400304 is an abundant number, since it is smaller than the sum of its proper divisors (2789271376).

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

2340400304 is a wasteful number, since it uses less digits than its factorization.

2340400304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2010 (or 2004 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 2340400304 is about 48377.6839462164. The cubic root of 2340400304 is about 1327.6900949812.

Adding to 2340400304 its reverse (4030040432), we get a palindrome (6370440736).

The spelling of 2340400304 in words is "two billion, three hundred forty million, four hundred thousand, three hundred four".

Divisors: 1 2 4 8 11 16 22 31 44 62 88 124 176 248 251 341 496 502 682 1004 1364 1709 2008 2728 2761 3418 4016 5456 5522 6836 7781 11044 13672 15562 18799 22088 27344 31124 37598 44176 52979 62248 75196 85591 105958 124496 150392 171182 211916 300784 342364 423832 428959 582769 684728 847664 857918 1165538 1369456 1715836 2331076 3431672 4662152 4718549 6863344 9324304 9437098 13297729 18874196 26595458 37748392 53190916 75496784 106381832 146275019 212763664 292550038 585100076 1170200152 2340400304