Search a number
-
+
34197408 = 2532716963
BaseRepresentation
bin1000001001110…
…0111110100000
32101100102000200
42002130332200
532223304113
63220545200
7563446620
oct202347640
971312020
1034197408
1118338023
12b552200
13711466b
144782880
153007873
hex209cfa0

34197408 has 72 divisors (see below), whose sum is σ = 111148128. Its totient is φ = 9770112.

The previous prime is 34197407. The next prime is 34197439. The reversal of 34197408 is 80479143.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (34197407) 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 11 ways as a sum of consecutive naturals, for example, 6466 + ... + 10497.

It is an arithmetic number, because the mean of its divisors is an integer number (1543724).

Almost surely, 234197408 is an apocalyptic number.

It is an amenable number.

34197408 is an abundant number, since it is smaller than the sum of its proper divisors (76950720).

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

34197408 is a wasteful number, since it uses less digits than its factorization.

34197408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16986 (or 16975 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 34197408 is about 5847.8549913622. The cubic root of 34197408 is about 324.5869561511.

The spelling of 34197408 in words is "thirty-four million, one hundred ninety-seven thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 16963 33926 50889 67852 101778 118741 135704 152667 203556 237482 271408 305334 356223 407112 474964 542816 610668 712446 814224 949928 1068669 1221336 1424892 1628448 1899856 2137338 2442672 2849784 3799712 4274676 4885344 5699568 8549352 11399136 17098704 34197408