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34814468 = 22132772417
BaseRepresentation
bin1000010011001…
…1101000000100
32102111202110202
42010303220010
532403030333
63242110032
7601626623
oct204635004
972452422
1034814468
1118719697
12b7ab318
13729c4a0
1448a36ba
1530ca5e8
hex2133a04

34814468 has 24 divisors (see below), whose sum is σ = 65875992. Its totient is φ = 16003584.

The previous prime is 34814467. The next prime is 34814497. The reversal of 34814468 is 86441843.

It can be written as a sum of positive squares in 4 ways, for example, as 3655744 + 31158724 = 1912^2 + 5582^2 .

It is a super-3 number, since 3×348144683 (a number of 24 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (34814467) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13196 + ... + 15612.

It is an arithmetic number, because the mean of its divisors is an integer number (2744833).

Almost surely, 234814468 is an apocalyptic number.

It is an amenable number.

34814468 is a deficient number, since it is larger than the sum of its proper divisors (31061524).

34814468 is a wasteful number, since it uses less digits than its factorization.

34814468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2711 (or 2709 counting only the distinct ones).

The product of its digits is 73728, while the sum is 38.

The square root of 34814468 is about 5900.3786319185. The cubic root of 34814468 is about 326.5276186410.

The spelling of 34814468 in words is "thirty-four million, eight hundred fourteen thousand, four hundred sixty-eight".

Divisors: 1 2 4 13 26 52 277 554 1108 2417 3601 4834 7202 9668 14404 31421 62842 125684 669509 1339018 2678036 8703617 17407234 34814468