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14344020 = 22335101263
BaseRepresentation
bin110110101101…
…111101010100
3222222202022000
4312231331110
512133002040
61231235300
7232631205
oct66557524
928882260
1014344020
118107969
124978b30
132c82bb2
141c955ac
1513d5130
hexdadf54

14344020 has 96 divisors (see below), whose sum is σ = 45239040. Its totient is φ = 3772800.

The previous prime is 14344003. The next prime is 14344027. The reversal of 14344020 is 2044341.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 14343984 and 14344002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14344027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54409 + ... + 54671.

It is an arithmetic number, because the mean of its divisors is an integer number (471240).

Almost surely, 214344020 is an apocalyptic number.

14344020 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 14344020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22619520).

14344020 is an abundant number, since it is smaller than the sum of its proper divisors (30895020).

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

14344020 is a wasteful number, since it uses less digits than its factorization.

14344020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 14344020 is about 3787.3499970296. The cubic root of 14344020 is about 242.9724096094.

Adding to 14344020 its reverse (2044341), we get a palindrome (16388361).

The spelling of 14344020 in words is "fourteen million, three hundred forty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 101 108 135 180 202 263 270 303 404 505 526 540 606 789 909 1010 1052 1212 1315 1515 1578 1818 2020 2367 2630 2727 3030 3156 3636 3945 4545 4734 5260 5454 6060 7101 7890 9090 9468 10908 11835 13635 14202 15780 18180 23670 26563 27270 28404 35505 47340 53126 54540 71010 79689 106252 132815 142020 159378 239067 265630 318756 398445 478134 531260 717201 796890 956268 1195335 1434402 1593780 2390670 2868804 3586005 4781340 7172010 14344020