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2380451328 = 293519253
BaseRepresentation
bin1000110111100010…
…1100111000000000
320010220020110100000
42031320230320000
514333343420303
61032113200000
7112663334223
oct21570547000
96126213300
102380451328
111011780352
12565260000
132bc232aa8
141882115ba
15ddeb3da3
hex8de2ce00

2380451328 has 360 divisors, whose sum is σ = 7661181528. Its totient is φ = 737538048.

The previous prime is 2380451323. The next prime is 2380451383. The reversal of 2380451328 is 8231540832.

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

It is a junction number, because it is equal to n+sod(n) for n = 2380451292 and 2380451301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2380451321) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 44914150 + ... + 44914202.

Almost surely, 22380451328 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 2380451328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3830590764).

2380451328 is an abundant number, since it is smaller than the sum of its proper divisors (5280730200).

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

2380451328 is an frugal number, since it uses more digits than its factorization.

2380451328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2380451328 is about 48789.8691123475. The cubic root of 2380451328 is about 1335.2208396180.

The spelling of 2380451328 in words is "two billion, three hundred eighty million, four hundred fifty-one thousand, three hundred twenty-eight".