Search a number
-
+
304928540 = 225715713873
BaseRepresentation
bin10010001011001…
…101011100011100
3210020202222022122
4102023031130130
51111030203130
650131402112
710361564330
oct2213153434
9706688278
10304928540
11147140364
1286153338
134b2351b7
142c6d77c0
151bb842e5
hex122cd71c

304928540 has 48 divisors (see below), whose sum is σ = 736542912. Its totient is φ = 103873536.

The previous prime is 304928537. The next prime is 304928543. The reversal of 304928540 is 45829403.

It is an interprime number because it is at equal distance from previous prime (304928537) and next prime (304928543).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 304928540.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (304928543) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15044 + ... + 28916.

It is an arithmetic number, because the mean of its divisors is an integer number (15344644).

Almost surely, 2304928540 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 304928540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368271456).

304928540 is an abundant number, since it is smaller than the sum of its proper divisors (431614372).

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

304928540 is a wasteful number, since it uses less digits than its factorization.

304928540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14046 (or 14044 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The square root of 304928540 is about 17462.2031828747. The cubic root of 304928540 is about 673.0789751498.

The spelling of 304928540 in words is "three hundred four million, nine hundred twenty-eight thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 157 314 628 785 1099 1570 2198 3140 4396 5495 10990 13873 21980 27746 55492 69365 97111 138730 194222 277460 388444 485555 971110 1942220 2178061 4356122 8712244 10890305 15246427 21780610 30492854 43561220 60985708 76232135 152464270 304928540