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14341404 = 22371121783
BaseRepresentation
bin110110101101…
…010100011100
3222222121201010
4312231110130
512132411104
61231215220
7232620450
oct66552434
928877633
1014341404
118105a00
124977510
132c8194c
141c94660
1513d4489
hexdad51c

14341404 has 144 divisors (see below), whose sum is σ = 45045504. Its totient is φ = 3463680.

The previous prime is 14341391. The next prime is 14341433. The reversal of 14341404 is 40414341.

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

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 47 ways as a sum of consecutive naturals, for example, 172747 + ... + 172829.

It is an arithmetic number, because the mean of its divisors is an integer number (312816).

Almost surely, 214341404 is an apocalyptic number.

14341404 is a gapful number since it is divisible by the number (14) 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 14341404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22522752).

14341404 is an abundant number, since it is smaller than the sum of its proper divisors (30704100).

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

14341404 is a wasteful number, since it uses less digits than its factorization.

14341404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 14341404 is about 3787.0046210693. The cubic root of 14341404 is about 242.9576379609.

Adding to 14341404 its reverse (40414341), we get a palindrome (54755745).

The spelling of 14341404 in words is "fourteen million, three hundred forty-one thousand, four hundred four".

Divisors: 1 2 3 4 6 7 11 12 14 17 21 22 28 33 34 42 44 51 66 68 77 83 84 102 119 121 132 154 166 187 204 231 238 242 249 308 332 357 363 374 462 476 484 498 561 581 714 726 748 847 913 924 996 1122 1162 1309 1411 1428 1452 1694 1743 1826 2057 2244 2324 2541 2618 2739 2822 3388 3486 3652 3927 4114 4233 5082 5236 5478 5644 6171 6391 6972 7854 8228 8466 9877 10043 10164 10956 12342 12782 14399 15521 15708 16932 19173 19754 20086 24684 25564 28798 29631 30129 31042 38346 39508 40172 43197 46563 57596 59262 60258 62084 70301 76692 86394 93126 108647 118524 120516 140602 170731 172788 186252 210903 217294 281204 325941 341462 421806 434588 512193 651882 682924 843612 1024386 1195117 1303764 2048772 2390234 3585351 4780468 7170702 14341404