Search a number
-
+
379528128 = 26327317113
BaseRepresentation
bin10110100111110…
…010001111000000
3222110011000201100
4112213302033000
51234124400003
6101354334400
712255636000
oct2647621700
9873130640
10379528128
11185263111
12a712a400
1360824475
1438596000
15234bcba3
hex169f23c0

379528128 has 336 divisors, whose sum is σ = 1355140800. Its totient is φ = 101154816.

The previous prime is 379528109. The next prime is 379528147. The reversal of 379528128 is 821825973.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (379528109) and next prime (379528147).

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3358600 + ... + 3358712.

Almost surely, 2379528128 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 379528128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677570400).

379528128 is an abundant number, since it is smaller than the sum of its proper divisors (975612672).

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

379528128 is a wasteful number, since it uses less digits than its factorization.

379528128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 142 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 379528128 is about 19481.4816684974. The cubic root of 379528128 is about 724.0157093953.

The spelling of 379528128 in words is "three hundred seventy-nine million, five hundred twenty-eight thousand, one hundred twenty-eight".