Search a number
-
+
300005464 = 231122910687
BaseRepresentation
bin10001111000011…
…011100001011000
3202220111212010111
4101320123201120
51103300133324
645434054104
710302001333
oct2170334130
9686455114
10300005464
11144388600
128457a334
134a200435
142bbb561a
151b510794
hex11e1b858

300005464 has 48 divisors (see below), whose sum is σ = 639676800. Its totient is φ = 131651520.

The previous prime is 300005449. The next prime is 300005483. The reversal of 300005464 is 464500003.

It is a Harshad number since it is a multiple of its sum of digits (22).

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 11 ways as a sum of consecutive naturals, for example, 22729 + ... + 33415.

It is an arithmetic number, because the mean of its divisors is an integer number (13326600).

Almost surely, 2300005464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 300005464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319838400).

300005464 is an abundant number, since it is smaller than the sum of its proper divisors (339671336).

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

300005464 is a wasteful number, since it uses less digits than its factorization.

300005464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10744 (or 10729 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 300005464 is about 17320.6658070641. The cubic root of 300005464 is about 669.4370142593.

Adding to 300005464 its reverse (464500003), we get a palindrome (764505467).

The spelling of 300005464 in words is "three hundred million, five thousand, four hundred sixty-four".

Divisors: 1 2 4 8 11 22 29 44 58 88 116 121 232 242 319 484 638 968 1276 2552 3509 7018 10687 14036 21374 28072 42748 85496 117557 235114 309923 470228 619846 940456 1239692 1293127 2479384 2586254 3409153 5172508 6818306 10345016 13636612 27273224 37500683 75001366 150002732 300005464