Search a number
-
+
14394456 = 2333103647
BaseRepresentation
bin110110111010…
…010001011000
31000002022111000
4312322101120
512141110311
61232305000
7233231226
oct66722130
930068430
1014394456
11814184a
1249a2160
132c9cb3b
141ca9b16
1513e5056
hexdba458

14394456 has 64 divisors (see below), whose sum is σ = 40435200. Its totient is φ = 4744224.

The previous prime is 14394449. The next prime is 14394463. The reversal of 14394456 is 65449341.

14394456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14394449) and next prime (14394463).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 14394456.

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, 21925 + ... + 22571.

It is an arithmetic number, because the mean of its divisors is an integer number (631800).

Almost surely, 214394456 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 14394456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20217600).

14394456 is an abundant number, since it is smaller than the sum of its proper divisors (26040744).

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

14394456 is a wasteful number, since it uses less digits than its factorization.

14394456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765 (or 755 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 14394456 is about 3794.0026357397. The cubic root of 14394456 is about 243.2568538450.

The spelling of 14394456 in words is "fourteen million, three hundred ninety-four thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 103 108 206 216 309 412 618 647 824 927 1236 1294 1854 1941 2472 2588 2781 3708 3882 5176 5562 5823 7416 7764 11124 11646 15528 17469 22248 23292 34938 46584 66641 69876 133282 139752 199923 266564 399846 533128 599769 799692 1199538 1599384 1799307 2399076 3598614 4798152 7197228 14394456