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14443416 = 23321321187
BaseRepresentation
bin110111000110…
…001110011000
31000011210122100
4313012032120
512144142131
61233323400
7233524041
oct67061630
930153570
1014443416
118175609
124a06560
132cb9200
141cbd8c8
1514047e6
hexdc6398

14443416 has 72 divisors (see below), whose sum is σ = 42393780. Its totient is φ = 4440384.

The previous prime is 14443369. The next prime is 14443423. The reversal of 14443416 is 61434441.

14443416 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×144434162 = 417224531498112, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 14443416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11575 + ... + 12761.

Almost surely, 214443416 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 14443416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21196890).

14443416 is an abundant number, since it is smaller than the sum of its proper divisors (27950364).

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

14443416 is a wasteful number, since it uses less digits than its factorization.

14443416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1225 (or 1205 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 14443416 is about 3800.4494471049. The cubic root of 14443416 is about 243.5323390269.

Adding to 14443416 its reverse (61434441), we get a palindrome (75877857).

Subtracting 14443416 from its reverse (61434441), we obtain a square (46991025 = 68552).

The spelling of 14443416 in words is "fourteen million, four hundred forty-three thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 169 234 312 338 468 507 676 936 1014 1187 1352 1521 2028 2374 3042 3561 4056 4748 6084 7122 9496 10683 12168 14244 15431 21366 28488 30862 42732 46293 61724 85464 92586 123448 138879 185172 200603 277758 370344 401206 555516 601809 802412 1111032 1203618 1604824 1805427 2407236 3610854 4814472 7221708 14443416