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2343264 = 253711317
BaseRepresentation
bin1000111100000101100000
311102001100120
420330011200
51044441024
6122120240
725626450
oct10740540
94361316
102343264
111360590
12950080
13640761
1444dd60
15314479
hex23c160

2343264 has 96 divisors (see below), whose sum is σ = 7693056. Its totient is φ = 606720.

The previous prime is 2343241. The next prime is 2343269. The reversal of 2343264 is 4623432.

2343264 = 1612 + 1622 + ... + 2232.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 2 + 37 + 45 + 311 + 221 + 63 + 48 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2343269) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7234 + ... + 7550.

It is an arithmetic number, because the mean of its divisors is an integer number (80136).

22343264 is an apocalyptic number.

2343264 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 2343264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3846528).

2343264 is an abundant number, since it is smaller than the sum of its proper divisors (5349792).

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

2343264 is a wasteful number, since it uses less digits than its factorization.

2343264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 340 counting only the distinct ones).

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

The square root of 2343264 is about 1530.7723540749. The cubic root of 2343264 is about 132.8231391431.

Adding to 2343264 its reverse (4623432), we get a palindrome (6966696).

The spelling of 2343264 in words is "two million, three hundred forty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 66 77 84 88 96 112 132 154 168 176 224 231 264 308 317 336 352 462 528 616 634 672 924 951 1056 1232 1268 1848 1902 2219 2464 2536 3487 3696 3804 4438 5072 6657 6974 7392 7608 8876 10144 10461 13314 13948 15216 17752 20922 24409 26628 27896 30432 35504 41844 48818 53256 55792 71008 73227 83688 97636 106512 111584 146454 167376 195272 213024 292908 334752 390544 585816 781088 1171632 2343264