Search a number
-
+
300680640 = 26335132677
BaseRepresentation
bin10001111011000…
…000010111000000
3202221210011022000
4101323000113000
51103433240030
645500344000
710310512641
oct2173002700
9687704260
10300680640
111447a98a7
1284845000
134a3a8850
142bd0d6c8
151b5e5860
hex11ec05c0

300680640 has 224 divisors, whose sum is σ = 1142756160. Its totient is φ = 73986048.

The previous prime is 300680623. The next prime is 300680641. The reversal of 300680640 is 46086003.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (300680641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110982 + ... + 113658.

It is an arithmetic number, because the mean of its divisors is an integer number (5101590).

Almost surely, 2300680640 is an apocalyptic number.

300680640 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 300680640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571378080).

300680640 is an abundant number, since it is smaller than the sum of its proper divisors (842075520).

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

300680640 is a wasteful number, since it uses less digits than its factorization.

300680640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2716 (or 2700 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 300680640 is about 17340.1453281107. The cubic root of 300680640 is about 669.9388375148.

The spelling of 300680640 in words is "three hundred million, six hundred eighty thousand, six hundred forty".