Search a number
-
+
379211840 = 26573143127
BaseRepresentation
bin10110100110100…
…101000001000000
3222102112221211222
4112212211001000
51234034234330
6101343454212
712253150610
oct2646450100
9872487758
10379211840
11185067517
12a6bb7368
1360743507
1438512a40
15234590e5
hex169a5040

379211840 has 224 divisors, whose sum is σ = 1098645504. Its totient is φ = 121927680.

The previous prime is 379211827. The next prime is 379211849. The reversal of 379211840 is 48112973.

It is a tau number, because it is divible by the number of its divisors (224).

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 379211840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379211849) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2985857 + ... + 2985983.

Almost surely, 2379211840 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 379211840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549322752).

379211840 is an abundant number, since it is smaller than the sum of its proper divisors (719433664).

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

379211840 is a wasteful number, since it uses less digits than its factorization.

379211840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 379211840 is about 19473.3623188190. The cubic root of 379211840 is about 723.8145287655.

The spelling of 379211840 in words is "three hundred seventy-nine million, two hundred eleven thousand, eight hundred forty".