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14341344 = 253316179
BaseRepresentation
bin110110101101…
…010011100000
3222222121121220
4312231103200
512132410334
61231215040
7232620333
oct66552340
928877556
1014341344
118105956
124977480
132c81904
141c9461a
1513d4449
hexdad4e0

14341344 has 96 divisors (see below), whose sum is σ = 39997440. Its totient is φ = 4492800.

The previous prime is 14341343. The next prime is 14341357. The reversal of 14341344 is 44314341.

14341344 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14341343) 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, 181497 + ... + 181575.

It is an arithmetic number, because the mean of its divisors is an integer number (416640).

Almost surely, 214341344 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 14341344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19998720).

14341344 is an abundant number, since it is smaller than the sum of its proper divisors (25656096).

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

14341344 is a wasteful number, since it uses less digits than its factorization.

14341344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 176 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 14341344 is about 3786.9966992328. The cubic root of 14341344 is about 242.9572991405.

Adding to 14341344 its reverse (44314341), we get a palindrome (58655685).

The spelling of 14341344 in words is "fourteen million, three hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 61 62 79 93 96 122 124 158 183 186 237 244 248 316 366 372 474 488 496 632 732 744 948 976 992 1264 1464 1488 1891 1896 1952 2449 2528 2928 2976 3782 3792 4819 4898 5673 5856 7347 7564 7584 9638 9796 11346 14457 14694 15128 19276 19592 22692 28914 29388 30256 38552 39184 45384 57828 58776 60512 77104 78368 90768 115656 117552 149389 154208 181536 231312 235104 298778 448167 462624 597556 896334 1195112 1792668 2390224 3585336 4780448 7170672 14341344