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2234304 = 2634431
BaseRepresentation
bin1000100001011111000000
311012111220000
420201133000
51032444204
6115520000
724664002
oct10413700
94174800
102234304
111296736
128b9000
13602c97
14422372
152e2039
hex2217c0

2234304 has 70 divisors (see below), whose sum is σ = 6638544. Its totient is φ = 743040.

The previous prime is 2234303. The next prime is 2234317. The reversal of 2234304 is 4034322.

It is a super-2 number, since 2×22343042 = 9984228728832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2234303) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4969 + ... + 5399.

22234304 is an apocalyptic number.

2234304 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 2234304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3319272).

2234304 is an abundant number, since it is smaller than the sum of its proper divisors (4404240).

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

2234304 is an equidigital number, since it uses as much as digits as its factorization.

2234304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 2234304 is about 1494.7588434259. The cubic root of 2234304 is about 130.7316535451.

Adding to 2234304 its sum of digits (18), we get a palindrome (2234322).

Adding to 2234304 its reverse (4034322), we get a palindrome (6268626).

The spelling of 2234304 in words is "two million, two hundred thirty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 431 432 576 648 862 864 1293 1296 1724 1728 2586 2592 3448 3879 5172 5184 6896 7758 10344 11637 13792 15516 20688 23274 27584 31032 34911 41376 46548 62064 69822 82752 93096 124128 139644 186192 248256 279288 372384 558576 744768 1117152 2234304