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378997920 = 25335783151
BaseRepresentation
bin10110100101110…
…000110010100000
3222102011002102000
4112211300302200
51234010413140
6101335124000
712251300130
oct2645606240
9872132360
10378997920
11184a30824
12a6b13600
136069a032
1438498ac0
1523415a30
hex16970ca0

378997920 has 384 divisors, whose sum is σ = 1544417280. Its totient is φ = 85017600.

The previous prime is 378997903. The next prime is 378997937. The reversal of 378997920 is 29799873.

It is an interprime number because it is at equal distance from previous prime (378997903) and next prime (378997937).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2509845 + ... + 2509995.

It is an arithmetic number, because the mean of its divisors is an integer number (4021920).

Almost surely, 2378997920 is an apocalyptic number.

378997920 is a gapful number since it is divisible by the number (30) 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 378997920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772208640).

378997920 is an abundant number, since it is smaller than the sum of its proper divisors (1165419360).

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

378997920 is a wasteful number, since it uses less digits than its factorization.

378997920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 54.

The square root of 378997920 is about 19467.8689126468. The cubic root of 378997920 is about 723.6783977058.

The spelling of 378997920 in words is "three hundred seventy-eight million, nine hundred ninety-seven thousand, nine hundred twenty".