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34340144 = 2419374371
BaseRepresentation
bin1000001011111…
…1110100110000
32101121122211012
42002333310300
532242341034
63224010052
7564613016
oct202776460
971548735
1034340144
1118425293
12b600928
137164617
1447bc8b6
153034cce
hex20bfd30

34340144 has 80 divisors (see below), whose sum is σ = 74638080. Its totient is φ = 15240960.

The previous prime is 34340143. The next prime is 34340177. The reversal of 34340144 is 44104343.

34340144 is nontrivially palindromic in base 13.

34340144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (34340143) 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 15 ways as a sum of consecutive naturals, for example, 483629 + ... + 483699.

It is an arithmetic number, because the mean of its divisors is an integer number (932976).

Almost surely, 234340144 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 34340144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37319040).

34340144 is an abundant number, since it is smaller than the sum of its proper divisors (40297936).

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

34340144 is a wasteful number, since it uses less digits than its factorization.

34340144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 172 counting only the distinct ones).

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

The square root of 34340144 is about 5860.0464161984. The cubic root of 34340144 is about 325.0379253572.

Adding to 34340144 its reverse (44104343), we get a palindrome (78444487).

The spelling of 34340144 in words is "thirty-four million, three hundred forty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 19 37 38 43 71 74 76 86 142 148 152 172 284 296 304 344 568 592 688 703 817 1136 1349 1406 1591 1634 2627 2698 2812 3053 3182 3268 5254 5396 5624 6106 6364 6536 10508 10792 11248 12212 12728 13072 21016 21584 24424 25456 30229 42032 48848 49913 58007 60458 99826 112961 116014 120916 199652 225922 232028 241832 399304 451844 464056 483664 798608 903688 928112 1807376 2146259 4292518 8585036 17170072 34340144