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34041040 = 24511101383
BaseRepresentation
bin1000000111011…
…0110011010000
32101001110112021
42001312303100
532203303130
63213341224
7562226005
oct201666320
971043467
1034041040
11182405a0
12b497814
13708b437
1447418ac
152ec637a
hex2076cd0

34041040 has 80 divisors (see below), whose sum is σ = 87422976. Its totient is φ = 12224000.

The previous prime is 34041023. The next prime is 34041061. The reversal of 34041040 is 4014043.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

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 15 ways as a sum of consecutive naturals, for example, 88689 + ... + 89071.

Almost surely, 234041040 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 34041040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43711488).

34041040 is an abundant number, since it is smaller than the sum of its proper divisors (53381936).

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

34041040 is a wasteful number, since it uses less digits than its factorization.

34041040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 34041040 is about 5834.4699844973. The cubic root of 34041040 is about 324.0914744511.

Adding to 34041040 its reverse (4014043), we get a palindrome (38055083).

It can be divided in two parts, 3404 and 1040, that added together give a palindrome (4444).

The spelling of 34041040 in words is "thirty-four million, forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 101 110 176 202 220 383 404 440 505 766 808 880 1010 1111 1532 1616 1915 2020 2222 3064 3830 4040 4213 4444 5555 6128 7660 8080 8426 8888 11110 15320 16852 17776 21065 22220 30640 33704 38683 42130 44440 67408 77366 84260 88880 154732 168520 193415 309464 337040 386830 425513 618928 773660 851026 1547320 1702052 2127565 3094640 3404104 4255130 6808208 8510260 17020520 34041040