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14463468 = 2233157853
BaseRepresentation
bin110111001011…
…000111101100
31000012211011000
4313023013230
512200312333
61234000300
7233636355
oct67130754
930184130
1014463468
118189688
124a16090
132cc5386
141cc6d2c
15140a713
hexdcb1ec

14463468 has 48 divisors (see below), whose sum is σ = 37780960. Its totient is φ = 4784832.

The previous prime is 14463439. The next prime is 14463473. The reversal of 14463468 is 86436441.

14463468 is a `hidden beast` number, since 14 + 4 + 634 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16530 + ... + 17382.

Almost surely, 214463468 is an apocalyptic number.

14463468 is a gapful number since it is divisible by the number (18) 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 14463468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18890480).

14463468 is an abundant number, since it is smaller than the sum of its proper divisors (23317492).

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

14463468 is a wasteful number, since it uses less digits than its factorization.

14463468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1023 (or 1015 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 14463468 is about 3803.0866411377. The cubic root of 14463468 is about 243.6449867169.

The spelling of 14463468 in words is "fourteen million, four hundred sixty-three thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 157 314 471 628 853 942 1413 1706 1884 2559 2826 3412 4239 5118 5652 7677 8478 10236 15354 16956 23031 30708 46062 92124 133921 267842 401763 535684 803526 1205289 1607052 2410578 3615867 4821156 7231734 14463468