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14244360 = 23351323397
BaseRepresentation
bin110110010101…
…101000001000
3222210200120220
4312111220020
512121304420
61225150040
7232034514
oct66255010
928720526
1014244360
118049aa9
12492b320
132c49720
141c6b144
1513b5840
hexd95a08

14244360 has 128 divisors (see below), whose sum is σ = 48142080. Its totient is φ = 3345408.

The previous prime is 14244359. The next prime is 14244367. The reversal of 14244360 is 6344241.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 14244360.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14244367) 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, 35682 + ... + 36078.

It is an arithmetic number, because the mean of its divisors is an integer number (376110).

Almost surely, 214244360 is an apocalyptic number.

14244360 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 14244360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24071040).

14244360 is an abundant number, since it is smaller than the sum of its proper divisors (33897720).

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

14244360 is a wasteful number, since it uses less digits than its factorization.

14244360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 14244360 is about 3774.1701074541. The cubic root of 14244360 is about 242.4083899546.

The spelling of 14244360 in words is "fourteen million, two hundred forty-four thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 23 24 26 30 39 40 46 52 60 65 69 78 92 104 115 120 130 138 156 184 195 230 260 276 299 312 345 390 397 460 520 552 598 690 780 794 897 920 1191 1196 1380 1495 1560 1588 1794 1985 2382 2392 2760 2990 3176 3588 3970 4485 4764 5161 5955 5980 7176 7940 8970 9131 9528 10322 11910 11960 15483 15880 17940 18262 20644 23820 25805 27393 30966 35880 36524 41288 45655 47640 51610 54786 61932 73048 77415 91310 103220 109572 118703 123864 136965 154830 182620 206440 219144 237406 273930 309660 356109 365240 474812 547860 593515 619320 712218 949624 1095720 1187030 1424436 1780545 2374060 2848872 3561090 4748120 7122180 14244360