Search a number
-
+
376289280 = 2113351361
BaseRepresentation
bin10110011011011…
…011100000000000
3222020001110212000
4112123123200000
51232312224110
6101201104000
712216256203
oct2633334000
9866043760
10376289280
11183450784
12a6028000
135cc5c1a3
1437d9193a
152307d1c0
hex166db800

376289280 has 192 divisors, whose sum is σ = 1338573600. Its totient is φ = 100270080.

The previous prime is 376289261. The next prime is 376289293. The reversal of 376289280 is 82982673.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 275800 + ... + 277160.

Almost surely, 2376289280 is an apocalyptic number.

376289280 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 376289280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669286800).

376289280 is an abundant number, since it is smaller than the sum of its proper divisors (962284320).

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

376289280 is a wasteful number, since it uses less digits than its factorization.

376289280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1397 (or 1371 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 376289280 is about 19398.1772339568. The cubic root of 376289280 is about 721.9502680836.

The spelling of 376289280 in words is "three hundred seventy-six million, two hundred eighty-nine thousand, two hundred eighty".