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13234320 = 2433511557
BaseRepresentation
bin110010011111…
…000010010000
3220220101002000
4302133002100
511341444240
61151354000
7220330011
oct62370220
926811060
1013234320
11751a160
124522900
132984a78
141a87008
151266430
hexc9f090

13234320 has 160 divisors (see below), whose sum is σ = 49818240. Its totient is φ = 3202560.

The previous prime is 13234297. The next prime is 13234321. The reversal of 13234320 is 2343231.

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

It is a junction number, because it is equal to n+sod(n) for n = 13234293 and 13234302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13234321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23482 + ... + 24038.

It is an arithmetic number, because the mean of its divisors is an integer number (311364).

Almost surely, 213234320 is an apocalyptic number.

13234320 is a gapful number since it is divisible by the number (10) 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 13234320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24909120).

13234320 is an abundant number, since it is smaller than the sum of its proper divisors (36583920).

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

13234320 is a wasteful number, since it uses less digits than its factorization.

13234320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 13234320 is about 3637.9004934165. The cubic root of 13234320 is about 236.5377949004.

Adding to 13234320 its reverse (2343231), we get a palindrome (15577551).

The spelling of 13234320 in words is "thirteen million, two hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 30 33 36 40 44 45 48 54 55 60 66 72 80 88 90 99 108 110 120 132 135 144 165 176 180 198 216 220 240 264 270 297 330 360 396 432 440 495 528 540 557 594 660 720 792 880 990 1080 1114 1188 1320 1485 1584 1671 1980 2160 2228 2376 2640 2785 2970 3342 3960 4456 4752 5013 5570 5940 6127 6684 7920 8355 8912 10026 11140 11880 12254 13368 15039 16710 18381 20052 22280 23760 24508 25065 26736 30078 30635 33420 36762 40104 44560 49016 50130 55143 60156 61270 66840 73524 75195 80208 91905 98032 100260 110286 120312 122540 133680 147048 150390 165429 183810 200520 220572 240624 245080 275715 294096 300780 330858 367620 401040 441144 490160 551430 601560 661716 735240 827145 882288 1102860 1203120 1323432 1470480 1654290 2205720 2646864 3308580 4411440 6617160 13234320