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5346264 = 2337112263
BaseRepresentation
bin10100011001001111011000
3101001121200210
4110121033120
52332040024
6310331120
763304530
oct24311730
911047623
105346264
113021800
121959aa0
131152591
149d24c0
15709129
hex5193d8

5346264 has 96 divisors (see below), whose sum is σ = 16853760. Its totient is φ = 1383360.

The previous prime is 5346259. The next prime is 5346283. The reversal of 5346264 is 4626435.

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 23 ways as a sum of consecutive naturals, for example, 20197 + ... + 20459.

It is an arithmetic number, because the mean of its divisors is an integer number (175560).

Almost surely, 25346264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5346264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8426880).

5346264 is an abundant number, since it is smaller than the sum of its proper divisors (11507496).

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

5346264 is a wasteful number, since it uses less digits than its factorization.

5346264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 286 counting only the distinct ones).

The product of its digits is 17280, while the sum is 30.

The square root of 5346264 is about 2312.1989533775. The cubic root of 5346264 is about 174.8571787103.

It can be divided in two parts, 5346 and 264, that multiplied together give a square (1411344 = 11882).

The spelling of 5346264 in words is "five million, three hundred forty-six thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 121 132 154 168 231 242 263 264 308 363 462 484 526 616 726 789 847 924 968 1052 1452 1578 1694 1841 1848 2104 2541 2893 2904 3156 3388 3682 5082 5523 5786 6312 6776 7364 8679 10164 11046 11572 14728 17358 20251 20328 22092 23144 31823 34716 40502 44184 60753 63646 69432 81004 95469 121506 127292 162008 190938 222761 243012 254584 381876 445522 486024 668283 763752 891044 1336566 1782088 2673132 5346264