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2349492480 = 28345173143
BaseRepresentation
bin1000110000001010…
…0110100100000000
320001201222120210000
42030002212210000
514302432224410
61025045440000
7112136233206
oct21402464400
96051876700
102349492480
11aa6255525
12556a10000
132b59b354a
14184073076
15db3eadc0
hex8c0a6900

2349492480 has 720 divisors, whose sum is σ = 9402269184. Its totient is φ = 557383680.

The previous prime is 2349492461. The next prime is 2349492499. The reversal of 2349492480 is 842949432.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2349492461) and next prime (2349492499).

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×23494924802 = 11040229827153100800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 54639339 + ... + 54639381.

Almost surely, 22349492480 is an apocalyptic number.

2349492480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2349492480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4701134592).

2349492480 is an abundant number, since it is smaller than the sum of its proper divisors (7052776704).

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

2349492480 is a wasteful number, since it uses less digits than its factorization.

2349492480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 2349492480 is about 48471.5636223962. The cubic root of 2349492480 is about 1329.4071792219.

The spelling of 2349492480 in words is "two billion, three hundred forty-nine million, four hundred ninety-two thousand, four hundred eighty".