Search a number
-
+
14349474 = 234101877
BaseRepresentation
bin110110101111…
…010010100010
31000000000210000
4312233102202
512133140344
61231320430
7232653126
oct66572242
930000700
1014349474
118110a77
124980116
132c85519
141c97586
1513d6a69
hexdaf4a2

14349474 has 40 divisors (see below), whose sum is σ = 32508828. Its totient is φ = 4730400.

The previous prime is 14349473. The next prime is 14349521. The reversal of 14349474 is 47494341.

14349474 is a `hidden beast` number, since 143 + 49 + 474 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11269449 + 3080025 = 3357^2 + 1755^2 .

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

It is not an unprimeable number, because it can be changed into a prime (14349473) 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 19 ways as a sum of consecutive naturals, for example, 15924 + ... + 16800.

Almost surely, 214349474 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14349474, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16254414).

14349474 is an abundant number, since it is smaller than the sum of its proper divisors (18159354).

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

14349474 is a wasteful number, since it uses less digits than its factorization.

14349474 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992 (or 983 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 14349474 is about 3788.0699571154. The cubic root of 14349474 is about 243.0032006894.

The spelling of 14349474 in words is "fourteen million, three hundred forty-nine thousand, four hundred seventy-four".

Divisors: 1 2 3 6 9 18 27 54 81 101 162 202 303 606 877 909 1754 1818 2631 2727 5262 5454 7893 8181 15786 16362 23679 47358 71037 88577 142074 177154 265731 531462 797193 1594386 2391579 4783158 7174737 14349474