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2430403104 = 253167151597
BaseRepresentation
bin1001000011011101…
…0000001000100000
320021101020021021210
42100313100020200
514434140344404
61041055550120
7114141041223
oct22067201040
96241207253
102430403104
111037998908
12579b2b340
132c96a225c
14190ad55ba
15e357e689
hex90dd0220

2430403104 has 48 divisors (see below), whose sum is σ = 6418052928. Its totient is φ = 805277952.

The previous prime is 2430403103. The next prime is 2430403117. The reversal of 2430403104 is 4013040342.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (2430403103) 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, 59767 + ... + 91830.

It is an arithmetic number, because the mean of its divisors is an integer number (133709436).

Almost surely, 22430403104 is an apocalyptic number.

2430403104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2430403104 is an abundant number, since it is smaller than the sum of its proper divisors (3987649824).

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

2430403104 is a wasteful number, since it uses less digits than its factorization.

2430403104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151777 (or 151769 counting only the distinct ones).

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

The square root of 2430403104 is about 49299.1186939483. The cubic root of 2430403104 is about 1344.4957602757.

Adding to 2430403104 its reverse (4013040342), we get a palindrome (6443443446).

The spelling of 2430403104 in words is "two billion, four hundred thirty million, four hundred three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 167 334 501 668 1002 1336 2004 2672 4008 5344 8016 16032 151597 303194 454791 606388 909582 1212776 1819164 2425552 3638328 4851104 7276656 14553312 25316699 50633398 75950097 101266796 151900194 202533592 303800388 405067184 607600776 810134368 1215201552 2430403104