Search a number
-
+
300856032 = 25341941149
BaseRepresentation
bin10001111011101…
…011001011100000
3202222010001220000
4101323223023200
51104004343112
645504220000
710312143201
oct2173531340
9688101800
10300856032
11144909654
128490a600
134a43a629
142bd575a8
151b62c7dc
hex11eeb2e0

300856032 has 240 divisors, whose sum is σ = 960498000. Its totient is φ = 92067840.

The previous prime is 300856027. The next prime is 300856043. The reversal of 300856032 is 230658003.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 300855987 and 300856005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2019094 + ... + 2019242.

It is an arithmetic number, because the mean of its divisors is an integer number (4002075).

Almost surely, 2300856032 is an apocalyptic number.

300856032 is a gapful number since it is divisible by the number (32) 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 300856032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480249000).

300856032 is an abundant number, since it is smaller than the sum of its proper divisors (659641968).

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

300856032 is a wasteful number, since it uses less digits than its factorization.

300856032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 300856032 is about 17345.2019878697. The cubic root of 300856032 is about 670.0690743368.

The spelling of 300856032 in words is "three hundred million, eight hundred fifty-six thousand, thirty-two".