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212344304 = 24195911839
BaseRepresentation
bin11001010100000…
…01110111110000
3112210120012121212
430222001313300
5413330004204
633023135252
75155616414
oct1452016760
9483505555
10212344304
11a9954467
125b144528
1334cb9c23
14202b6d44
1513996c6e
hexca81df0

212344304 has 40 divisors (see below), whose sum is σ = 440448000. Its totient is φ = 98870976.

The previous prime is 212344291. The next prime is 212344309. The reversal of 212344304 is 403443212.

It is a self number, because there is not a number n which added to its sum of digits gives 212344304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212344309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12017 + ... + 23855.

It is an arithmetic number, because the mean of its divisors is an integer number (11011200).

Almost surely, 2212344304 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 212344304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220224000).

212344304 is an abundant number, since it is smaller than the sum of its proper divisors (228103696).

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

212344304 is a wasteful number, since it uses less digits than its factorization.

212344304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11925 (or 11919 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 212344304 is about 14572.0384298148. The cubic root of 212344304 is about 596.5958187399.

Adding to 212344304 its reverse (403443212), we get a palindrome (615787516).

The spelling of 212344304 in words is "two hundred twelve million, three hundred forty-four thousand, three hundred four".

Divisors: 1 2 4 8 16 19 38 59 76 118 152 236 304 472 944 1121 2242 4484 8968 11839 17936 23678 47356 94712 189424 224941 449882 698501 899764 1397002 1799528 2794004 3599056 5588008 11176016 13271519 26543038 53086076 106172152 212344304