Search a number
-
+
299080320 = 27357211172
BaseRepresentation
bin10001110100111…
…001101010000000
3202211202212001220
4101310321222000
51103031032240
645402155040
710261066200
oct2164715200
9684685056
10299080320
11143906520
12841b2a80
1349c68306
142ba14400
151b3cb5d0
hex11d39a80

299080320 has 576 divisors, whose sum is σ = 1285126560. Its totient is φ = 58490880.

The previous prime is 299080283. The next prime is 299080403. The reversal of 299080320 is 23080992.

It is a super-2 number, since 2×2990803202 = 178898075622604800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17592952 + ... + 17592968.

Almost surely, 2299080320 is an apocalyptic number.

299080320 is a gapful number since it is divisible by the number (20) 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 299080320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642563280).

299080320 is an abundant number, since it is smaller than the sum of its proper divisors (986046240).

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

299080320 is a wasteful number, since it uses less digits than its factorization.

299080320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 299080320 is about 17293.9388226049. The cubic root of 299080320 is about 668.7481786424.

The spelling of 299080320 in words is "two hundred ninety-nine million, eighty thousand, three hundred twenty".