Search a number
-
+
376273920 = 210351117131
BaseRepresentation
bin10110011011010…
…111110000000000
3222020000200210010
4112123113300000
51232311231140
6101200504520
712216163341
oct2633276000
9866020703
10376273920
11183440190
12a601b140
135cc551b9
1437d8a0c8
1523078880
hex166d7c00

376273920 has 352 divisors, whose sum is σ = 1400737536. Its totient is φ = 85196800.

The previous prime is 376273907. The next prime is 376274009. The reversal of 376273920 is 29372673.

It is a tau number, because it is divible by the number of its divisors (352).

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 31 ways as a sum of consecutive naturals, for example, 2872255 + ... + 2872385.

It is an arithmetic number, because the mean of its divisors is an integer number (3979368).

Almost surely, 2376273920 is an apocalyptic number.

376273920 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 376273920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700368768).

376273920 is an abundant number, since it is smaller than the sum of its proper divisors (1024463616).

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

376273920 is a wasteful number, since it uses less digits than its factorization.

376273920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 39.

The square root of 376273920 is about 19397.7813164289. The cubic root of 376273920 is about 721.9404446954.

The spelling of 376273920 in words is "three hundred seventy-six million, two hundred seventy-three thousand, nine hundred twenty".