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14322480 = 243583719
BaseRepresentation
bin110110101000…
…101100110000
3222221122202020
4312220230300
512131304410
61230551440
7232511334
oct66505460
928848666
1014322480
1180a2767
124968580
132c76153
141c8b7c4
1513cda70
hexda8b30

14322480 has 80 divisors (see below), whose sum is σ = 44997120. Its totient is φ = 3768064.

The previous prime is 14322479. The next prime is 14322487. The reversal of 14322480 is 8422341.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 14322480.

It is not an unprimeable number, because it can be changed into a prime (14322487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19561 + ... + 20279.

It is an arithmetic number, because the mean of its divisors is an integer number (562464).

Almost surely, 214322480 is an apocalyptic number.

14322480 is a gapful number since it is divisible by the number (10) 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 14322480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22498560).

14322480 is an abundant number, since it is smaller than the sum of its proper divisors (30674640).

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

14322480 is a wasteful number, since it uses less digits than its factorization.

14322480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 14322480 is about 3784.5052516809. The cubic root of 14322480 is about 242.8507271332.

The spelling of 14322480 in words is "fourteen million, three hundred twenty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 83 120 166 240 249 332 415 498 664 719 830 996 1245 1328 1438 1660 1992 2157 2490 2876 3320 3595 3984 4314 4980 5752 6640 7190 8628 9960 10785 11504 14380 17256 19920 21570 28760 34512 43140 57520 59677 86280 119354 172560 179031 238708 298385 358062 477416 596770 716124 895155 954832 1193540 1432248 1790310 2387080 2864496 3580620 4774160 7161240 14322480