Search a number
-
+
14274384 = 2433153181
BaseRepresentation
bin110110011100…
…111101010000
3222212012202220
4312130331100
512123240014
61225541040
7232221165
oct66347520
928765686
1014274384
11806a613
124944780
132c5a2a7
141c7806c
1513be6a9
hexd9cf50

14274384 has 80 divisors (see below), whose sum is σ = 38997504. Its totient is φ = 4492800.

The previous prime is 14274371. The next prime is 14274389. The reversal of 14274384 is 48347241.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14274389) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 78774 + ... + 78954.

Almost surely, 214274384 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 14274384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19498752).

14274384 is an abundant number, since it is smaller than the sum of its proper divisors (24723120).

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

14274384 is a wasteful number, since it uses less digits than its factorization.

14274384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 270 counting only the distinct ones).

The product of its digits is 21504, while the sum is 33.

The square root of 14274384 is about 3778.1455768670. The cubic root of 14274384 is about 242.5785850810.

The spelling of 14274384 in words is "fourteen million, two hundred seventy-four thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 53 62 93 106 124 159 181 186 212 248 318 362 372 424 496 543 636 724 744 848 1086 1272 1448 1488 1643 2172 2544 2896 3286 4344 4929 5611 6572 8688 9593 9858 11222 13144 16833 19186 19716 22444 26288 28779 33666 38372 39432 44888 57558 67332 76744 78864 89776 115116 134664 153488 230232 269328 297383 460464 594766 892149 1189532 1784298 2379064 3568596 4758128 7137192 14274384