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14311416 = 2337175011
BaseRepresentation
bin110110100101…
…111111111000
3222221002120110
4312211333320
512130431131
61230424320
7232434150
oct66457770
928832513
1014311416
118095419
1249620a0
132c710c2
141c87760
1513ca646
hexda5ff8

14311416 has 64 divisors (see below), whose sum is σ = 43303680. Its totient is φ = 3847680.

The previous prime is 14311391. The next prime is 14311417. The reversal of 14311416 is 61411341.

It is a Harshad number since it is a multiple of its sum of digits (21).

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

It is a junction number, because it is equal to n+sod(n) for n = 14311392 and 14311401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14311417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 351 + ... + 5361.

It is an arithmetic number, because the mean of its divisors is an integer number (676620).

Almost surely, 214311416 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 14311416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21651840).

14311416 is an abundant number, since it is smaller than the sum of its proper divisors (28992264).

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

14311416 is a wasteful number, since it uses less digits than its factorization.

14311416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5044 (or 5040 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

The square root of 14311416 is about 3783.0432194200. The cubic root of 14311416 is about 242.7881776164.

Adding to 14311416 its reverse (61411341), we get a palindrome (75722757).

The spelling of 14311416 in words is "fourteen million, three hundred eleven thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 84 102 119 136 168 204 238 357 408 476 714 952 1428 2856 5011 10022 15033 20044 30066 35077 40088 60132 70154 85187 105231 120264 140308 170374 210462 255561 280616 340748 420924 511122 596309 681496 841848 1022244 1192618 1788927 2044488 2385236 3577854 4770472 7155708 14311416