Search a number
-
+
304748136 = 233371173251
BaseRepresentation
bin10010001010100…
…001011001101000
3210020102210212000
4102022201121220
51111003420021
650123451000
710360213350
oct2212413150
9706383760
10304748136
11147027870
1286086a60
134b1a1054
142c68bb60
151bb4ab26
hex122a1668

304748136 has 256 divisors, whose sum is σ = 1074124800. Its totient is φ = 77760000.

The previous prime is 304748111. The next prime is 304748149. The reversal of 304748136 is 631847403.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 304748136.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1214011 + ... + 1214261.

It is an arithmetic number, because the mean of its divisors is an integer number (4195800).

Almost surely, 2304748136 is an apocalyptic number.

304748136 is a gapful number since it is divisible by the number (36) 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 304748136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537062400).

304748136 is an abundant number, since it is smaller than the sum of its proper divisors (769376664).

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

304748136 is a wasteful number, since it uses less digits than its factorization.

304748136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 304748136 is about 17457.0368619649. The cubic root of 304748136 is about 672.9462117012.

The spelling of 304748136 in words is "three hundred four million, seven hundred forty-eight thousand, one hundred thirty-six".