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2430004314 = 235360712589
BaseRepresentation
bin1001000011010110…
…1110110001011010
320021100111000020210
42100311232301122
514434040114224
61041043231550
7114134460453
oct22065566132
96240430223
102430004314
111037746231
125799785b6
132c959289a
14190a3012a
15e3501429
hex90d6ec5a

2430004314 has 32 divisors (see below), whose sum is σ = 4960258560. Its totient is φ = 793346112.

The previous prime is 2430004301. The next prime is 2430004331. The reversal of 2430004314 is 4134000342.

2430004314 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×24300043143 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 186732 + ... + 199320.

It is an arithmetic number, because the mean of its divisors is an integer number (155008080).

Almost surely, 22430004314 is an apocalyptic number.

2430004314 is an abundant number, since it is smaller than the sum of its proper divisors (2530254246).

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

2430004314 is a wasteful number, since it uses less digits than its factorization.

2430004314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13254.

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 2430004314 is about 49295.0739323921. The cubic root of 2430004314 is about 1344.4222195543.

Adding to 2430004314 its reverse (4134000342), we get a palindrome (6564004656).

The spelling of 2430004314 in words is "two billion, four hundred thirty million, four thousand, three hundred fourteen".

Divisors: 1 2 3 6 53 106 159 318 607 1214 1821 3642 12589 25178 32171 37767 64342 75534 96513 193026 667217 1334434 2001651 4003302 7641523 15283046 22924569 45849138 405000719 810001438 1215002157 2430004314