Search a number
-
+
378855840 = 2535113593
BaseRepresentation
bin10110100101001…
…110000110100000
3222101212212111210
4112211032012200
51233441341330
6101332110120
712250135656
oct2645160640
9871785453
10378855840
11184944000
12a6a65340
136064a46c
143845cdd6
15233d88b0
hex1694e1a0

378855840 has 192 divisors, whose sum is σ = 1314859392. Its totient is φ = 91688960.

The previous prime is 378855833. The next prime is 378855853. The reversal of 378855840 is 48558873.

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

It is a self number, because there is not a number n which added to its sum of digits gives 378855840.

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, 638584 + ... + 639176.

It is an arithmetic number, because the mean of its divisors is an integer number (6848226).

Almost surely, 2378855840 is an apocalyptic number.

378855840 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 378855840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657429696).

378855840 is an abundant number, since it is smaller than the sum of its proper divisors (936003552).

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

378855840 is a wasteful number, since it uses less digits than its factorization.

378855840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 48.

The square root of 378855840 is about 19464.2194808834. The cubic root of 378855840 is about 723.5879547487.

The spelling of 378855840 in words is "three hundred seventy-eight million, eight hundred fifty-five thousand, eight hundred forty".