Search a number
-
+
14341716 = 22323171181
BaseRepresentation
bin110110101101…
…011001010100
3222222122010200
4312231121110
512132413331
61231220500
7232621404
oct66553124
928878120
1014341716
118106164
124977730
132c81b2c
141c94804
1513d45e6
hexdad654

14341716 has 72 divisors (see below), whose sum is σ = 38158848. Its totient is φ = 4536000.

The previous prime is 14341703. The next prime is 14341753. The reversal of 14341716 is 61714341.

It is a happy number.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (2016) is a multiple of the sum of its prime divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 14341716.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79146 + ... + 79326.

It is an arithmetic number, because the mean of its divisors is an integer number (529984).

Almost surely, 214341716 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 14341716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19079424).

14341716 is an abundant number, since it is smaller than the sum of its proper divisors (23817132).

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

14341716 is a wasteful number, since it uses less digits than its factorization.

14341716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 288 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 14341716 is about 3787.0458143519. The cubic root of 14341716 is about 242.9593998115.

It can be divided in two parts, 1434171 and 6, that multiplied together give a triangular number (8605026 = T4148).

The spelling of 14341716 in words is "fourteen million, three hundred forty-one thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 71 93 124 142 181 186 213 279 284 362 372 426 543 558 639 724 852 1086 1116 1278 1629 2172 2201 2556 3258 4402 5611 6516 6603 8804 11222 12851 13206 16833 19809 22444 25702 26412 33666 38553 39618 50499 51404 67332 77106 79236 100998 115659 154212 201996 231318 398381 462636 796762 1195143 1593524 2390286 3585429 4780572 7170858 14341716