Search a number
-
+
304973140 = 225127711941
BaseRepresentation
bin10010001011011…
…000010101010100
3210020212020111111
4102023120111110
51111033120030
650132344404
710362141343
oct2213302524
9706766444
10304973140
1114717091a
1286175104
134b24c5a4
142c709b5a
151bb9262a
hex122d8554

304973140 has 24 divisors (see below), whose sum is σ = 640998792. Its totient is φ = 121883520.

The previous prime is 304973113. The next prime is 304973143. The reversal of 304973140 is 41379403.

It can be written as a sum of positive squares in 4 ways, for example, as 22867524 + 282105616 = 4782^2 + 16796^2 .

It is a super-2 number, since 2×3049731402 = 186017232242919200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (304973143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19570 + ... + 31510.

It is an arithmetic number, because the mean of its divisors is an integer number (26708283).

Almost surely, 2304973140 is an apocalyptic number.

It is an amenable number.

304973140 is an abundant number, since it is smaller than the sum of its proper divisors (336025652).

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

304973140 is a wasteful number, since it uses less digits than its factorization.

304973140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13227 (or 13225 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 31.

The square root of 304973140 is about 17463.4801800787. The cubic root of 304973140 is about 673.1117892411. Note that the first 3 decimals are identical.

The spelling of 304973140 in words is "three hundred four million, nine hundred seventy-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 1277 2554 5108 6385 11941 12770 23882 25540 47764 59705 119410 238820 15248657 30497314 60994628 76243285 152486570 304973140