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2380288680 = 2334572112947
BaseRepresentation
bin1000110111100000…
…0101001010101000
320010212221012020000
42031320011022220
514333323214210
61032105503000
7112662056100
oct21570051250
96125835200
102380288680
11101167a130
125651a1a60
132bc1a6a53
141881ac200
15dde80ac0
hex8de052a8

2380288680 has 960 divisors, whose sum is σ = 10726214400. Its totient is φ = 467389440.

The previous prime is 2380288667. The next prime is 2380288739. The reversal of 2380288680 is 868820832.

It is a super-2 number, since 2×23802886802 = 11331548400272284800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 239 ways as a sum of consecutive naturals, for example, 50644417 + ... + 50644463.

It is an arithmetic number, because the mean of its divisors is an integer number (11173140).

Almost surely, 22380288680 is an apocalyptic number.

2380288680 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 2380288680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5363107200).

2380288680 is an abundant number, since it is smaller than the sum of its proper divisors (8345925720).

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

2380288680 is a wasteful number, since it uses less digits than its factorization.

2380288680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 2380288680 is about 48788.2022624323. The cubic root of 2380288680 is about 1335.1904285859.

The spelling of 2380288680 in words is "two billion, three hundred eighty million, two hundred eighty-eight thousand, six hundred eighty".