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304631140 = 2251110712941
BaseRepresentation
bin10010001010000…
…100110101100100
3210020012212100211
4102022010311210
51110441144030
650121145204
710356215302
oct2212046544
9706185324
10304631140
11146a57980
128602b204
134b15ca18
142c65b272
151bb2612a
hex12284d64

304631140 has 48 divisors (see below), whose sum is σ = 704458944. Its totient is φ = 109731200.

The previous prime is 304631099. The next prime is 304631153. The reversal of 304631140 is 41136403.

304631140 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

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

304631140 is strictly pandigital in base 9.

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, 17070 + ... + 30010.

It is an arithmetic number, because the mean of its divisors is an integer number (14676228).

Almost surely, 2304631140 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 304631140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352229472).

304631140 is an abundant number, since it is smaller than the sum of its proper divisors (399827804).

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

304631140 is a wasteful number, since it uses less digits than its factorization.

304631140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13068 (or 13066 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 304631140 is about 17453.6855706753. The cubic root of 304631140 is about 672.8600836464.

Adding to 304631140 its reverse (41136403), we get a palindrome (345767543).

The spelling of 304631140 in words is "three hundred four million, six hundred thirty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 107 110 214 220 428 535 1070 1177 2140 2354 4708 5885 11770 12941 23540 25882 51764 64705 129410 142351 258820 284702 569404 711755 1384687 1423510 2769374 2847020 5538748 6923435 13846870 15231557 27693740 30463114 60926228 76157785 152315570 304631140