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34021033134 = 23113776118307
BaseRepresentation
bin11111101011110011…
…111100010010101110
310020210222120112212020
4133223303330102232
51024133341030014
623343512451010
72313034003344
oct375363742256
9106728515766
1034021033134
1113478a93810
1267156a9a66
13329246c24a
14190a4b5994
15d41b561a9
hex7ebcfc4ae

34021033134 has 64 divisors (see below), whose sum is σ = 76338208512. Its totient is φ = 10017043200.

The previous prime is 34021033103. The next prime is 34021033139. The reversal of 34021033134 is 43133012043.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34021033139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1849209 + ... + 1867515.

It is an arithmetic number, because the mean of its divisors is an integer number (1192784508).

Almost surely, 234021033134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34021033134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38169104256).

34021033134 is an abundant number, since it is smaller than the sum of its proper divisors (42317175378).

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

34021033134 is a wasteful number, since it uses less digits than its factorization.

34021033134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19121.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 34021033134 its reverse (43133012043), we get a palindrome (77154045177).

The spelling of 34021033134 in words is "thirty-four billion, twenty-one million, thirty-three thousand, one hundred thirty-four".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 222 407 761 814 1221 1522 2283 2442 4566 8371 16742 18307 25113 28157 36614 50226 54921 56314 84471 109842 168942 201377 309727 402754 604131 619454 677359 929181 1208262 1354718 1858362 2032077 4064154 7450949 13931627 14901898 22352847 27863254 41794881 44705694 83589762 153247897 306495794 459743691 515470199 919487382 1030940398 1546410597 3092821194 5670172189 11340344378 17010516567 34021033134