Search a number
-
+
379113840 = 2432571937107
BaseRepresentation
bin10110100110001…
…101000101110000
3222102100222102100
4112212031011300
51234023120330
6101341420400
712252262110
oct2646150560
9872328370
10379113840
11184aaa926
12a6b6a700
136070aa21
14384c9040
152343a060
hex1698d170

379113840 has 480 divisors, whose sum is σ = 1587755520. Its totient is φ = 79128576.

The previous prime is 379113827. The next prime is 379113863. The reversal of 379113840 is 48311973.

It is a happy number.

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 = 379113795 and 379113804.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 3543067 + ... + 3543173.

It is an arithmetic number, because the mean of its divisors is an integer number (3307824).

Almost surely, 2379113840 is an apocalyptic number.

379113840 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 379113840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793877760).

379113840 is an abundant number, since it is smaller than the sum of its proper divisors (1208641680).

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

379113840 is a wasteful number, since it uses less digits than its factorization.

379113840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 379113840 is about 19470.8458984195. The cubic root of 379113840 is about 723.7521714164.

The spelling of 379113840 in words is "three hundred seventy-nine million, one hundred thirteen thousand, eight hundred forty".