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34234144 = 25733119
BaseRepresentation
bin1000001010010…
…1111100100000
32101102021102021
42002211330200
532230443034
63221431224
7563662000
oct202457440
971367367
1034234144
111836268a
12b56b514
1371282b9
144792000
1530136b4
hex20a5f20

34234144 has 48 divisors (see below), whose sum is σ = 78624000. Its totient is φ = 14667072.

The previous prime is 34234111. The next prime is 34234157. The reversal of 34234144 is 44143243.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9417 + ... + 12535.

It is an arithmetic number, because the mean of its divisors is an integer number (1638000).

Almost surely, 234234144 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 34234144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39312000).

34234144 is an abundant number, since it is smaller than the sum of its proper divisors (44389856).

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

34234144 is an equidigital number, since it uses as much as digits as its factorization.

34234144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3150 (or 3128 counting only the distinct ones).

The product of its digits is 4608, while the sum is 25.

The square root of 34234144 is about 5850.9951290357. The cubic root of 34234144 is about 324.7031419474.

Adding to 34234144 its reverse (44143243), we get a palindrome (78377387).

Subtracting 34234144 from its reverse (44143243), we obtain a palindrome (9909099).

The spelling of 34234144 in words is "thirty-four million, two hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 343 392 686 784 1372 1568 2744 3119 5488 6238 10976 12476 21833 24952 43666 49904 87332 99808 152831 174664 305662 349328 611324 698656 1069817 1222648 2139634 2445296 4279268 4890592 8558536 17117072 34234144