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4323264 = 263112389
BaseRepresentation
bin10000011111011111000000
322010122101220
4100133133000
52101321024
6232355040
751514161
oct20373700
98118356
104323264
112493150
121545a80
13b84a5a
14807768
155a5e79
hex41f7c0

4323264 has 112 divisors (see below), whose sum is σ = 13167360. Its totient is φ = 1239040.

The previous prime is 4323257. The next prime is 4323283. The reversal of 4323264 is 4623234.

It is a happy number.

It is a super-2 number, since 2×43232642 = 37381223227392, which contains 22 as substring.

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 46 + 35 + 221 + 310 + 221 + 62 + 48 .

Its product of digits (3456) is a multiple of the sum of its prime divisors (128).

It is a congruent number.

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, 48532 + ... + 48620.

Almost surely, 24323264 is an apocalyptic number.

4323264 is a gapful number since it is divisible by the number (44) 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 4323264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6583680).

4323264 is an abundant number, since it is smaller than the sum of its proper divisors (8844096).

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

4323264 is a wasteful number, since it uses less digits than its factorization.

4323264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 128 counting only the distinct ones).

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

The square root of 4323264 is about 2079.2460171899. The cubic root of 4323264 is about 162.9060645358.

Adding to 4323264 its reverse (4623234), we get a palindrome (8946498).

The spelling of 4323264 in words is "four million, three hundred twenty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 32 33 44 46 48 64 66 69 88 89 92 96 132 138 176 178 184 192 253 264 267 276 352 356 368 506 528 534 552 704 712 736 759 979 1012 1056 1068 1104 1424 1472 1518 1958 2024 2047 2112 2136 2208 2848 2937 3036 3916 4048 4094 4272 4416 5696 5874 6072 6141 7832 8096 8188 8544 11748 12144 12282 15664 16192 16376 17088 22517 23496 24288 24564 31328 32752 45034 46992 48576 49128 62656 65504 67551 90068 93984 98256 131008 135102 180136 187968 196512 270204 360272 393024 540408 720544 1080816 1441088 2161632 4323264