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2307312 = 243372109
BaseRepresentation
bin1000110011010011110000
311100020001000
420303103300
51042313222
6121242000
725416600
oct10632360
94306030
102307312
111336577
12933300
1362a297
14440c00
153089ac
hex2334f0

2307312 has 120 divisors (see below), whose sum is σ = 7774800. Its totient is φ = 653184.

The previous prime is 2307307. The next prime is 2307367. The reversal of 2307312 is 2137032.

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

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21114 + ... + 21222.

It is an arithmetic number, because the mean of its divisors is an integer number (64790).

22307312 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 2307312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3887400).

2307312 is an abundant number, since it is smaller than the sum of its proper divisors (5467488).

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

2307312 is a wasteful number, since it uses less digits than its factorization.

2307312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 2307312 is about 1518.9838708821. The cubic root of 2307312 is about 132.1403465939.

The spelling of 2307312 in words is "two million, three hundred seven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 84 98 108 109 112 126 144 147 168 189 196 216 218 252 294 327 336 378 392 432 436 441 504 588 654 756 763 784 872 882 981 1008 1176 1308 1323 1512 1526 1744 1764 1962 2289 2352 2616 2646 2943 3024 3052 3528 3924 4578 5232 5292 5341 5886 6104 6867 7056 7848 9156 10584 10682 11772 12208 13734 15696 16023 18312 20601 21168 21364 23544 27468 32046 36624 41202 42728 47088 48069 54936 64092 82404 85456 96138 109872 128184 144207 164808 192276 256368 288414 329616 384552 576828 769104 1153656 2307312