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2343997440 = 212365157
BaseRepresentation
bin1000101110110110…
…1001000000000000
320001100122102000000
42023231221000000
514300030404230
61024332000000
7112041435531
oct21355510000
96040572000
102343997440
11aa3141a74
12555000000
132b480b345
14183442688
15dabb2b60
hex8bb69000

2343997440 has 364 divisors, whose sum is σ = 8487219324. Its totient is φ = 621084672.

The previous prime is 2343997421. The next prime is 2343997441. The reversal of 2343997440 is 447993432.

It can be written as a sum of positive squares in 2 ways, for example, as 764411904 + 1579585536 = 27648^2 + 39744^2 .

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

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (2343997441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 14929842 + ... + 14929998.

Almost surely, 22343997440 is an apocalyptic number.

2343997440 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 2343997440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4243609662).

2343997440 is an abundant number, since it is smaller than the sum of its proper divisors (6143221884).

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

2343997440 is an frugal number, since it uses more digits than its factorization.

2343997440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The square root of 2343997440 is about 48414.8473094773. The cubic root of 2343997440 is about 1328.3699554753.

The spelling of 2343997440 in words is "two billion, three hundred forty-three million, nine hundred ninety-seven thousand, four hundred forty".