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14253312 = 28367277
BaseRepresentation
bin110110010111…
…110100000000
3222211010212110
4312113310000
512122101222
61225255320
7232102563
oct66276400
928733773
1014253312
1180557a7
124934540
132c50818
141c704da
1513b830c
hexd97d00

14253312 has 72 divisors (see below), whose sum is σ = 38639776. Its totient is φ = 4663296.

The previous prime is 14253311. The next prime is 14253313. The reversal of 14253312 is 21335241.

It is an interprime number because it is at equal distance from previous prime (14253311) and next prime (14253313).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14253311) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 51318 + ... + 51594.

Almost surely, 214253312 is an apocalyptic number.

14253312 is a gapful number since it is divisible by the number (12) 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 14253312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19319888).

14253312 is an abundant number, since it is smaller than the sum of its proper divisors (24386464).

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

14253312 is an equidigital number, since it uses as much as digits as its factorization.

14253312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 349 counting only the distinct ones).

The product of its digits is 720, while the sum is 21.

The square root of 14253312 is about 3775.3558772651. The cubic root of 14253312 is about 242.4591605864.

Adding to 14253312 its reverse (21335241), we get a palindrome (35588553).

The spelling of 14253312 in words is "fourteen million, two hundred fifty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 96 128 134 192 201 256 268 277 384 402 536 554 768 804 831 1072 1108 1608 1662 2144 2216 3216 3324 4288 4432 6432 6648 8576 8864 12864 13296 17152 17728 18559 25728 26592 35456 37118 51456 53184 55677 70912 74236 106368 111354 148472 212736 222708 296944 445416 593888 890832 1187776 1781664 2375552 3563328 4751104 7126656 14253312