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2380299744 = 2531743107317
BaseRepresentation
bin1000110111100000…
…0111110111100000
320010212221202101210
42031320013313200
514333324042434
61032110030120
7112662133254
oct21570076740
96125852353
102380299744
111011687479
125651a8340
132bc1abab4
141881b2264
15dde83ee9
hex8de07de0

2380299744 has 192 divisors, whose sum is σ = 6854512896. Its totient is φ = 720297984.

The previous prime is 2380299703. The next prime is 2380299763. The reversal of 2380299744 is 4479920832.

2380299744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 2380299693 and 2380299702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7508674 + ... + 7508990.

It is an arithmetic number, because the mean of its divisors is an integer number (35700588).

Almost surely, 22380299744 is an apocalyptic number.

2380299744 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 2380299744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3427256448).

2380299744 is an abundant number, since it is smaller than the sum of its proper divisors (4474213152).

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

2380299744 is a wasteful number, since it uses less digits than its factorization.

2380299744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The square root of 2380299744 is about 48788.3156503686. The cubic root of 2380299744 is about 1335.1924973159.

The spelling of 2380299744 in words is "two billion, three hundred eighty million, two hundred ninety-nine thousand, seven hundred forty-four".