Search a number
-
+
304422440 = 23577115313
BaseRepresentation
bin10010001001010…
…001111000101000
3210012211021002012
4102021101320220
51110413004230
650112455052
710354355660
oct2211217050
9705737065
10304422440
111469250a3
1285b4a488
134b0b8a2a
142c6051a0
151bad4395
hex12251e28

304422440 has 64 divisors (see below), whose sum is σ = 793877760. Its totient is φ = 102896640.

The previous prime is 304422409. The next prime is 304422467. The reversal of 304422440 is 44224403.

304422440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 12224 + ... + 27536.

It is an arithmetic number, because the mean of its divisors is an integer number (12404340).

Almost surely, 2304422440 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 304422440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396938880).

304422440 is an abundant number, since it is smaller than the sum of its proper divisors (489455320).

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

304422440 is a wasteful number, since it uses less digits than its factorization.

304422440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15402 (or 15398 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 23.

The square root of 304422440 is about 17447.7058663883. The cubic root of 304422440 is about 672.7063917861.

Adding to 304422440 its reverse (44224403), we get a palindrome (348646843).

The spelling of 304422440 in words is "three hundred four million, four hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 71 140 142 280 284 355 497 568 710 994 1420 1988 2485 2840 3976 4970 9940 15313 19880 30626 61252 76565 107191 122504 153130 214382 306260 428764 535955 612520 857528 1071910 1087223 2143820 2174446 4287640 4348892 5436115 7610561 8697784 10872230 15221122 21744460 30442244 38052805 43488920 60884488 76105610 152211220 304422440