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34239438 = 23231431427
BaseRepresentation
bin1000001010011…
…1001111001110
32101102112200100
42002213033032
532231130223
63221511530
7564013302
oct202471716
971375610
1034239438
1118366662
12b5725a6
13712a82c
144793d02
153015043
hex20a73ce

34239438 has 48 divisors (see below), whose sum is σ = 78414336. Its totient is φ = 10780560.

The previous prime is 34239437. The next prime is 34239449. The reversal of 34239438 is 83493243.

It is a happy number.

34239438 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×342394382 = 2344678229111688, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34239437) 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 23 ways as a sum of consecutive naturals, for example, 23281 + ... + 24707.

It is an arithmetic number, because the mean of its divisors is an integer number (1633632).

Almost surely, 234239438 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34239438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39207168).

34239438 is an abundant number, since it is smaller than the sum of its proper divisors (44174898).

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

34239438 is a wasteful number, since it uses less digits than its factorization.

34239438 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1509 (or 1506 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 34239438 is about 5851.4475132227. The cubic root of 34239438 is about 324.7198785504.

The spelling of 34239438 in words is "thirty-four million, two hundred thirty-nine thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 9 18 31 43 62 86 93 129 186 258 279 387 558 774 1333 1427 2666 2854 3999 4281 7998 8562 11997 12843 23994 25686 44237 61361 88474 122722 132711 184083 265422 368166 398133 552249 796266 1104498 1902191 3804382 5706573 11413146 17119719 34239438