Search a number
-
+
379901280 = 253511231211
BaseRepresentation
bin10110101001001…
…101010101100000
3222110211222120210
4112221031111200
51234223320110
6101410334120
712262051623
oct2651152540
9873758523
10379901280
11185498500
12a728a340
1360925275
1438651dba
1523543520
hex16a4d560

379901280 has 288 divisors, whose sum is σ = 1364235264. Its totient is φ = 88704000.

The previous prime is 379901273. The next prime is 379901287. The reversal of 379901280 is 82109973.

It is an interprime number because it is at equal distance from previous prime (379901273) and next prime (379901287).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379901287) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1800375 + ... + 1800585.

It is an arithmetic number, because the mean of its divisors is an integer number (4736928).

Almost surely, 2379901280 is an apocalyptic number.

379901280 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 379901280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682117632).

379901280 is an abundant number, since it is smaller than the sum of its proper divisors (984333984).

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

379901280 is a wasteful number, since it uses less digits than its factorization.

379901280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The square root of 379901280 is about 19491.0564105694. The cubic root of 379901280 is about 724.2529157184.

The spelling of 379901280 in words is "three hundred seventy-nine million, nine hundred one thousand, two hundred eighty".