Search a number
-
+
14734668 = 22313293257
BaseRepresentation
bin111000001101…
…010101001100
31000201121011110
4320031111030
512233002133
61243452020
7236146134
oct70152514
930647143
1014734668
118354413
124b27010
13308b950
141d57ac4
151460c63
hexe0d54c

14734668 has 48 divisors (see below), whose sum is σ = 38314080. Its totient is φ = 4376064.

The previous prime is 14734627. The next prime is 14734669. The reversal of 14734668 is 86643741.

It is a super-2 number, since 2×147346682 = 434220882140448, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (14734669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2896 + ... + 6152.

It is an arithmetic number, because the mean of its divisors is an integer number (798210).

Almost surely, 214734668 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 14734668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19157040).

14734668 is an abundant number, since it is smaller than the sum of its proper divisors (23579412).

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

14734668 is a wasteful number, since it uses less digits than its factorization.

14734668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3306 (or 3304 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The square root of 14734668 is about 3838.5762985774. The cubic root of 14734668 is about 245.1584037406.

The spelling of 14734668 in words is "fourteen million, seven hundred thirty-four thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 12 13 26 29 39 52 58 78 87 116 156 174 348 377 754 1131 1508 2262 3257 4524 6514 9771 13028 19542 39084 42341 84682 94453 127023 169364 188906 254046 283359 377812 508092 566718 1133436 1227889 2455778 3683667 4911556 7367334 14734668