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34211322 = 234223947
BaseRepresentation
bin1000001010000…
…0010111111010
32101101010010000
42002200113322
532224230242
63221133430
7563535315
oct202402772
971333100
1034211322
1118347522
12b55a276
13711aab2
14478797c
15300ba4c
hex20a05fa

34211322 has 40 divisors (see below), whose sum is σ = 77083776. Its totient is φ = 11340648.

The previous prime is 34211299. The next prime is 34211351. The reversal of 34211322 is 22311243.

34211322 is a `hidden beast` number, since 342 + 1 + 1 + 322 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 34211295 and 34211304.

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 19 ways as a sum of consecutive naturals, for example, 35653 + ... + 36599.

Almost surely, 234211322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34211322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38541888).

34211322 is an abundant number, since it is smaller than the sum of its proper divisors (42872454).

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

34211322 is a wasteful number, since it uses less digits than its factorization.

34211322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184 (or 1175 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 34211322 is about 5849.0445373582. The cubic root of 34211322 is about 324.6309720653.

Adding to 34211322 its reverse (22311243), we get a palindrome (56522565).

It can be divided in two parts, 342 and 11322, that added together give a square (11664 = 1082).

The spelling of 34211322 in words is "thirty-four million, two hundred eleven thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 223 446 669 947 1338 1894 2007 2841 4014 5682 6021 8523 12042 17046 18063 25569 36126 51138 76707 153414 211181 422362 633543 1267086 1900629 3801258 5701887 11403774 17105661 34211322