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2344890240 = 2732571117311
BaseRepresentation
bin1000101111000100…
…0010111110000000
320001102022202200200
42023301002332000
514300242441430
61024403045200
7112052144460
oct21361027600
96042282620
102344890240
11aa36a1820
12555370800
132b4a61824
141835d5ba0
15dacdc460
hex8bc42f80

2344890240 has 768 divisors, whose sum is σ = 10723415040. Its totient is φ = 457113600.

The previous prime is 2344890239. The next prime is 2344890259. The reversal of 2344890240 is 420984432.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2344890195 and 2344890204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7539685 + ... + 7539995.

It is an arithmetic number, because the mean of its divisors is an integer number (13962780).

Almost surely, 22344890240 is an apocalyptic number.

2344890240 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 2344890240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5361707520).

2344890240 is an abundant number, since it is smaller than the sum of its proper divisors (8378524800).

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

2344890240 is a wasteful number, since it uses less digits than its factorization.

2344890240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 2344890240 is about 48424.0667437174. The cubic root of 2344890240 is about 1328.5385873652.

The spelling of 2344890240 in words is "two billion, three hundred forty-four million, eight hundred ninety thousand, two hundred forty".