Search a number
-
+
2368082304 = 2734767487
BaseRepresentation
bin1000110100100110…
…0001000110000000
320010000222001020000
42031021201012000
514322212113204
61030552120000
7112453240020
oct21511410600
96100861200
102368082304
1110057a2315
12561096000
132b97c1b43
14186711a80
15dcd6e039
hex8d261180

2368082304 has 320 divisors, whose sum is σ = 8191138560. Its totient is φ = 665127936.

The previous prime is 2368082291. The next prime is 2368082317. The reversal of 2368082304 is 4032808632.

It is an interprime number because it is at equal distance from previous prime (2368082291) and next prime (2368082317).

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

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, 4862349 + ... + 4862835.

It is an arithmetic number, because the mean of its divisors is an integer number (25597308).

Almost surely, 22368082304 is an apocalyptic number.

2368082304 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 2368082304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4095569280).

2368082304 is an abundant number, since it is smaller than the sum of its proper divisors (5823056256).

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

2368082304 is an equidigital number, since it uses as much as digits as its factorization.

2368082304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 566 counting only the distinct ones).

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

The square root of 2368082304 is about 48662.9459034284. The cubic root of 2368082304 is about 1332.9041827761.

The spelling of 2368082304 in words is "two billion, three hundred sixty-eight million, eighty-two thousand, three hundred four".