Search a number
-
+
5272344 = 2333711317
BaseRepresentation
bin10100000111001100011000
3100220212022000
4110013030120
52322203334
6305001000
762546160
oct24071430
910825260
105272344
112a81210
121923160
131127a3c
149b35a0
156e2299
hex507318

5272344 has 128 divisors (see below), whose sum is σ = 18316800. Its totient is φ = 1365120.

The previous prime is 5272339. The next prime is 5272369. The reversal of 5272344 is 4432725.

It is a super-3 number, since 3×52723443 (a number of 21 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16474 + ... + 16790.

It is an arithmetic number, because the mean of its divisors is an integer number (143100).

Almost surely, 25272344 is an apocalyptic number.

5272344 is a gapful number since it is divisible by the number (54) 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 5272344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9158400).

5272344 is an abundant number, since it is smaller than the sum of its proper divisors (13044456).

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

5272344 is a wasteful number, since it uses less digits than its factorization.

5272344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 340 counting only the distinct ones).

The product of its digits is 6720, while the sum is 27.

The square root of 5272344 is about 2296.1585311123. The cubic root of 5272344 is about 174.0475494305.

The spelling of 5272344 in words is "five million, two hundred seventy-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 27 28 33 36 42 44 54 56 63 66 72 77 84 88 99 108 126 132 154 168 189 198 216 231 252 264 297 308 317 378 396 462 504 594 616 634 693 756 792 924 951 1188 1268 1386 1512 1848 1902 2079 2219 2376 2536 2772 2853 3487 3804 4158 4438 5544 5706 6657 6974 7608 8316 8559 8876 10461 11412 13314 13948 16632 17118 17752 19971 20922 22824 24409 26628 27896 31383 34236 39942 41844 48818 53256 59913 62766 68472 73227 79884 83688 94149 97636 119826 125532 146454 159768 188298 195272 219681 239652 251064 292908 376596 439362 479304 585816 659043 753192 878724 1318086 1757448 2636172 5272344