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2430442104 = 233379267199
BaseRepresentation
bin1001000011011101…
…1001101001111000
320021101022020210020
42100313121221320
514434143121404
61041100450440
7114141263016
oct22067315170
96241266706
102430442104
111037a15142
12579b49a20
132c96b6c2c
14190b058b6
15e358aed9
hex90dd9a78

2430442104 has 32 divisors (see below), whose sum is σ = 6092160000. Its totient is φ = 808006752.

The previous prime is 2430442103. The next prime is 2430442127. The reversal of 2430442104 is 4012440342.

It is a happy number.

2430442104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2430442103) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 124504 + ... + 142695.

It is an arithmetic number, because the mean of its divisors is an integer number (190380000).

Almost surely, 22430442104 is an apocalyptic number.

2430442104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2430442104 is an abundant number, since it is smaller than the sum of its proper divisors (3661717896).

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

2430442104 is a wasteful number, since it uses less digits than its factorization.

2430442104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267587 (or 267583 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 2430442104 is about 49299.5142369578. The cubic root of 2430442104 is about 1344.5029518199.

Adding to 2430442104 its reverse (4012440342), we get a palindrome (6442882446).

The spelling of 2430442104 in words is "two billion, four hundred thirty million, four hundred forty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 24 379 758 1137 1516 2274 3032 4548 9096 267199 534398 801597 1068796 1603194 2137592 3206388 6412776 101268421 202536842 303805263 405073684 607610526 810147368 1215221052 2430442104