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2430444340 = 225121522217
BaseRepresentation
bin1001000011011101…
…1010001100110100
320021101022100212001
42100313122030310
514434143204330
61041100505044
7114141302362
oct22067321464
96241270761
102430444340
111037a16895
12579b4b184
132c96b7c5c
14190b06632
15e358b9ca
hex90dda334

2430444340 has 12 divisors (see below), whose sum is σ = 5103933156. Its totient is φ = 972177728.

The previous prime is 2430444311. The next prime is 2430444377. The reversal of 2430444340 is 434440342.

It can be written as a sum of positive squares in 2 ways, for example, as 1683296784 + 747147556 = 41028^2 + 27334^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2430444299 and 2430444308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 60761089 + ... + 60761128.

It is an arithmetic number, because the mean of its divisors is an integer number (425327763).

Almost surely, 22430444340 is an apocalyptic number.

2430444340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2430444340 is an abundant number, since it is smaller than the sum of its proper divisors (2673488816).

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

2430444340 is a wasteful number, since it uses less digits than its factorization.

2430444340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121522226 (or 121522224 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

The square root of 2430444340 is about 49299.5369146608. The cubic root of 2430444340 is about 1344.5033641328.

Adding to 2430444340 its reverse (434440342), we get a palindrome (2864884682).

It can be divided in two parts, 24304 and 44340, that added together give a square (68644 = 2622).

The spelling of 2430444340 in words is "two billion, four hundred thirty million, four hundred forty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 121522217 243044434 486088868 607611085 1215222170 2430444340