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2343683328 = 283743141
BaseRepresentation
bin1000101110110001…
…1100010100000000
320001100001110010020
42023230130110000
514244440331303
61024321133440
7112035660000
oct21354342400
96040043106
102343683328
11aa2a47a78
12554a8a280
132b472b38c
141833a0000
15dab4ea53
hex8bb1c500

2343683328 has 360 divisors, whose sum is σ = 7694727936. Its totient is φ = 632217600.

The previous prime is 2343683299. The next prime is 2343683339. The reversal of 2343683328 is 8233863432.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2343683328.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 57162988 + ... + 57163028.

Almost surely, 22343683328 is an apocalyptic number.

2343683328 is a gapful number since it is divisible by the number (28) 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 2343683328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3847363968).

2343683328 is an abundant number, since it is smaller than the sum of its proper divisors (5351044608).

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

2343683328 is an frugal number, since it uses more digits than its factorization.

2343683328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 84 counting only the distinct ones).

The product of its digits is 497664, while the sum is 42.

The square root of 2343683328 is about 48411.6032372406. The cubic root of 2343683328 is about 1328.3106158793.

The spelling of 2343683328 in words is "two billion, three hundred forty-three million, six hundred eighty-three thousand, three hundred twenty-eight".