Search a number
-
+
34566378 = 23711233253
BaseRepresentation
bin1000001111011…
…1000011101010
32102001011011020
42003313003222
532322111003
63232513310
7566544420
oct203670352
972034136
1034566378
111856a260
12b6ab836
1372135a2
14483b110
15307bd53
hex20f70ea

34566378 has 64 divisors (see below), whose sum is σ = 89966592. Its totient is φ = 8585280.

The previous prime is 34566373. The next prime is 34566379. The reversal of 34566378 is 87366543.

34566378 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (34566373) 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 31 ways as a sum of consecutive naturals, for example, 9000 + ... + 12252.

It is an arithmetic number, because the mean of its divisors is an integer number (1405728).

Almost surely, 234566378 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34566378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44983296).

34566378 is an abundant number, since it is smaller than the sum of its proper divisors (55400214).

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

34566378 is a wasteful number, since it uses less digits than its factorization.

34566378 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3299.

The product of its digits is 362880, while the sum is 42.

The square root of 34566378 is about 5879.3178175703. The cubic root of 34566378 is about 325.7501504389.

The spelling of 34566378 in words is "thirty-four million, five hundred sixty-six thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 7 11 14 21 22 23 33 42 46 66 69 77 138 154 161 231 253 322 462 483 506 759 966 1518 1771 3253 3542 5313 6506 9759 10626 19518 22771 35783 45542 68313 71566 74819 107349 136626 149638 214698 224457 250481 448914 500962 523733 751443 823009 1047466 1502886 1571199 1646018 2469027 3142398 4938054 5761063 11522126 17283189 34566378