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378858480 = 2435711131983
BaseRepresentation
bin10110100101001…
…110101111110000
3222101220000010120
4112211032233300
51233441432410
6101332130240
712250146450
oct2645165760
9871800116
10378858480
11184945a90
12a6a66980
136064b720
143845dd60
15233d9570
hex1694ebf0

378858480 has 640 divisors, whose sum is σ = 1679892480. Its totient is φ = 68014080.

The previous prime is 378858449. The next prime is 378858497. The reversal of 378858480 is 84858873.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4564519 + ... + 4564601.

It is an arithmetic number, because the mean of its divisors is an integer number (2624832).

Almost surely, 2378858480 is an apocalyptic number.

378858480 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 378858480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839946240).

378858480 is an abundant number, since it is smaller than the sum of its proper divisors (1301034000).

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

378858480 is a wasteful number, since it uses less digits than its factorization.

378858480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 51.

The square root of 378858480 is about 19464.2872975098. The cubic root of 378858480 is about 723.5896354827.

It can be divided in two parts, 378 and 858480, that added together give a palindrome (858858).

The spelling of 378858480 in words is "three hundred seventy-eight million, eight hundred fifty-eight thousand, four hundred eighty".