Search a number
-
+
34388208 = 2432475081
BaseRepresentation
bin1000001100101…
…1100011110000
32101201002202100
42003023203300
532300410313
63225020400
7565203111
oct203134360
971632670
1034388208
1118458408
12b624700
13718046a
1447d2208
153044173
hex20cb8f0

34388208 has 60 divisors (see below), whose sum is σ = 98306208. Its totient is φ = 11216640.

The previous prime is 34388173. The next prime is 34388257. The reversal of 34388208 is 80288343.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

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, 4228 + ... + 9308.

Almost surely, 234388208 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 34388208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49153104).

34388208 is an abundant number, since it is smaller than the sum of its proper divisors (63918000).

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

34388208 is a wasteful number, since it uses less digits than its factorization.

34388208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5142 (or 5133 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 34388208 is about 5864.1459736265. The cubic root of 34388208 is about 325.1895005302.

It can be divided in two parts, 34388 and 208, that added together give a square (34596 = 1862).

The spelling of 34388208 in words is "thirty-four million, three hundred eighty-eight thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 47 48 72 94 141 144 188 282 376 423 564 752 846 1128 1692 2256 3384 5081 6768 10162 15243 20324 30486 40648 45729 60972 81296 91458 121944 182916 238807 243888 365832 477614 716421 731664 955228 1432842 1910456 2149263 2865684 3820912 4298526 5731368 8597052 11462736 17194104 34388208