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34041344 = 29173911
BaseRepresentation
bin1000000111011…
…0111000000000
32101001110221112
42001312320000
532203310334
63213342452
7562226621
oct201667000
971043845
1034041344
1118240847
12b497a28
13708b60c
144741a48
152ec64ce
hex2076e00

34041344 has 40 divisors (see below), whose sum is σ = 72035568. Its totient is φ = 16015360.

The previous prime is 34041313. The next prime is 34041353. The reversal of 34041344 is 44314043.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6749 + ... + 10659.

Almost surely, 234041344 is an apocalyptic number.

34041344 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34041344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36017784).

34041344 is an abundant number, since it is smaller than the sum of its proper divisors (37994224).

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

34041344 is an equidigital number, since it uses as much as digits as its factorization.

34041344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3946 (or 3930 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 34041344 is about 5834.4960365056. The cubic root of 34041344 is about 324.0924392034.

Adding to 34041344 its reverse (44314043), we get a palindrome (78355387).

The spelling of 34041344 in words is "thirty-four million, forty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 512 544 1088 2176 3911 4352 7822 8704 15644 31288 62576 66487 125152 132974 250304 265948 500608 531896 1001216 1063792 2002432 2127584 4255168 8510336 17020672 34041344