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34045544 = 23131132897
BaseRepresentation
bin1000000111011…
…1111001101000
32101001200201002
42001313321220
532203424134
63213414132
7562245101
oct201677150
971050632
1034045544
1118243a15
12b49a348
1370904c0
1447433a8
152ec787e
hex2077e68

34045544 has 32 divisors (see below), whose sum is σ = 69378120. Its totient is φ = 15568896.

The previous prime is 34045541. The next prime is 34045553. The reversal of 34045544 is 44554043.

34045544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 6061444 + 27984100 = 2462^2 + 5290^2 .

It is not an unprimeable number, because it can be changed into a prime (34045541) 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 7 ways as a sum of consecutive naturals, for example, 10304 + ... + 13200.

Almost surely, 234045544 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 34045544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34689060).

34045544 is an abundant number, since it is smaller than the sum of its proper divisors (35332576).

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

34045544 is a wasteful number, since it uses less digits than its factorization.

34045544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3029 (or 3025 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 29.

The square root of 34045544 is about 5834.8559536633. The cubic root of 34045544 is about 324.1057674303.

Adding to 34045544 its reverse (44554043), we get a palindrome (78599587).

The spelling of 34045544 in words is "thirty-four million, forty-five thousand, five hundred forty-four".

Divisors: 1 2 4 8 13 26 52 104 113 226 452 904 1469 2897 2938 5794 5876 11588 11752 23176 37661 75322 150644 301288 327361 654722 1309444 2618888 4255693 8511386 17022772 34045544