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2234312304 = 243710165839
BaseRepresentation
bin1000010100101100…
…1110011001110000
312202201020211021120
42011023032121300
514033440443204
61005413022240
7106240225020
oct20513163160
95681224246
102234312304
11a472359a4
12524324980
13297b863b3
14172a4da80
15d12486d9
hex852ce670

2234312304 has 80 divisors (see below), whose sum is σ = 6661954560. Its totient is φ = 632044800.

The previous prime is 2234312287. The next prime is 2234312323. The reversal of 2234312304 is 4032134322.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1017 + ... + 66855.

It is an arithmetic number, because the mean of its divisors is an integer number (83274432).

Almost surely, 22234312304 is an apocalyptic number.

2234312304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2234312304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3330977280).

2234312304 is an abundant number, since it is smaller than the sum of its proper divisors (4427642256).

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

2234312304 is a wasteful number, since it uses less digits than its factorization.

2234312304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65958 (or 65952 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 2234312304 is about 47268.5128177310. The cubic root of 2234312304 is about 1307.3181550375.

Adding to 2234312304 its reverse (4032134322), we get a palindrome (6266446626).

The spelling of 2234312304 in words is "two billion, two hundred thirty-four million, three hundred twelve thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 101 112 168 202 303 336 404 606 707 808 1212 1414 1616 2121 2424 2828 4242 4848 5656 8484 11312 16968 33936 65839 131678 197517 263356 395034 460873 526712 790068 921746 1053424 1382619 1580136 1843492 2765238 3160272 3686984 5530476 6649739 7373968 11060952 13299478 19949217 22121904 26598956 39898434 46548173 53197912 79796868 93096346 106395824 139644519 159593736 186192692 279289038 319187472 372385384 558578076 744770768 1117156152 2234312304