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2423090376 = 23347217672
BaseRepresentation
bin1001000001101101…
…0110110011001000
320020212110202010000
42100123112303020
514430302343001
61040235123000
7114021633300
oct22033266310
96225422100
102423090376
111033853733
125775a3460
132c80118b5
1418db50600
15e2ad7a86
hex906d6cc8

2423090376 has 360 divisors, whose sum is σ = 8485999830. Its totient is φ = 641862144.

The previous prime is 2423090353. The next prime is 2423090381. The reversal of 2423090376 is 6730903242.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1781684100 + 641406276 = 42210^2 + 25326^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 2423090376.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 36165495 + ... + 36165561.

Almost surely, 22423090376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2423090376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4242999915).

2423090376 is an abundant number, since it is smaller than the sum of its proper divisors (6062909454).

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

2423090376 is a wasteful number, since it uses less digits than its factorization.

2423090376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 2423090376 is about 49224.8958962840. The cubic root of 2423090376 is about 1343.1459417701.

The spelling of 2423090376 in words is "two billion, four hundred twenty-three million, ninety thousand, three hundred seventy-six".