Search a number
-
+
14349654 = 23211232137
BaseRepresentation
bin110110101111…
…010101010110
31000000001000200
4312233111112
512133142104
61231321330
7232653504
oct66572526
930001020
1014349654
118111120
124980246
132c85627
141c97674
1513d6b39
hexdaf556

14349654 has 72 divisors (see below), whose sum is σ = 35714952. Its totient is φ = 4128960.

The previous prime is 14349653. The next prime is 14349661. The reversal of 14349654 is 45694341.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14349653) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 104674 + ... + 104810.

It is an arithmetic number, because the mean of its divisors is an integer number (496041).

Almost surely, 214349654 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14349654, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17857476).

14349654 is an abundant number, since it is smaller than the sum of its proper divisors (21365298).

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

14349654 is a wasteful number, since it uses less digits than its factorization.

14349654 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 176 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 14349654 is about 3788.0937158418. The cubic root of 14349654 is about 243.0042167637.

The spelling of 14349654 in words is "fourteen million, three hundred forty-nine thousand, six hundred fifty-four".

Divisors: 1 2 3 6 9 11 18 22 23 33 46 66 69 99 137 138 198 207 253 274 411 414 506 529 759 822 1058 1233 1507 1518 1587 2277 2466 3014 3151 3174 4521 4554 4761 5819 6302 9042 9453 9522 11638 13563 17457 18906 27126 28359 34661 34914 52371 56718 69322 72473 103983 104742 144946 207966 217419 311949 434838 623898 652257 797203 1304514 1594406 2391609 4783218 7174827 14349654