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34311132 = 22322114517
BaseRepresentation
bin1000001011100…
…0101111011100
32101120012000200
42002320233130
532240424012
63223223500
7564432312
oct202705734
971505020
1034311132
1118405509
12b5a7b90
13715435b
1447b20b2
15302b3dc
hex20b8bdc

34311132 has 36 divisors (see below), whose sum is σ = 87161256. Its totient is φ = 11380320.

The previous prime is 34311091. The next prime is 34311133. The reversal of 34311132 is 23111343.

34311132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34311133) 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 11 ways as a sum of consecutive naturals, for example, 5338 + ... + 9854.

It is an arithmetic number, because the mean of its divisors is an integer number (2421146).

Almost surely, 234311132 is an apocalyptic number.

It is an amenable number.

34311132 is an abundant number, since it is smaller than the sum of its proper divisors (52850124).

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

34311132 is a wasteful number, since it uses less digits than its factorization.

34311132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4738 (or 4733 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 34311132 is about 5857.5704861316. The cubic root of 34311132 is about 324.9463643244.

Adding to 34311132 its reverse (23111343), we get a palindrome (57422475).

It can be divided in two parts, 34311 and 132, that added together give a palindrome (34443).

The spelling of 34311132 in words is "thirty-four million, three hundred eleven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 211 422 633 844 1266 1899 2532 3798 4517 7596 9034 13551 18068 27102 40653 54204 81306 162612 953087 1906174 2859261 3812348 5718522 8577783 11437044 17155566 34311132