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2378242944 = 2736711331
BaseRepresentation
bin1000110111000001…
…0001101110000000
320010202002021000000
42031300101232000
514332312233234
61031554000000
7112635505620
oct21560215600
96122067000
102378242944
111010502140
12564576000
132bb93b85c
14187bd8880
15ddbc9899
hex8dc11b80

2378242944 has 448 divisors, whose sum is σ = 8883204480. Its totient is φ = 615859200.

The previous prime is 2378242819. The next prime is 2378242961. The reversal of 2378242944 is 4492428732.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

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 2378242944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 7184859 + ... + 7185189.

Almost surely, 22378242944 is an apocalyptic number.

2378242944 is a gapful number since it is divisible by the number (24) 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 2378242944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4441602240).

2378242944 is an abundant number, since it is smaller than the sum of its proper divisors (6504961536).

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

2378242944 is an equidigital number, since it uses as much as digits as its factorization.

2378242944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 354 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 2378242944 is about 48767.2322774217. The cubic root of 2378242944 is about 1334.8078097274.

The spelling of 2378242944 in words is "two billion, three hundred seventy-eight million, two hundred forty-two thousand, nine hundred forty-four".