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34534632 = 23311257509
BaseRepresentation
bin1000001110111…
…1010011101000
32101222112121110
42003233103220
532320102012
63232110320
7566353026
oct203572350
971875543
1034534632
1118548420
12b6953a0
137201cc2
14482d716
15307273c
hex20ef4e8

34534632 has 64 divisors (see below), whose sum is σ = 94737600. Its totient is φ = 10403840.

The previous prime is 34534607. The next prime is 34534637. The reversal of 34534632 is 23643543.

34534632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 34534632.

It is not an unprimeable number, because it can be changed into a prime (34534637) 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, 67594 + ... + 68102.

It is an arithmetic number, because the mean of its divisors is an integer number (1480275).

Almost surely, 234534632 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 34534632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47368800).

34534632 is an abundant number, since it is smaller than the sum of its proper divisors (60202968).

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

34534632 is a wasteful number, since it uses less digits than its factorization.

34534632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 782 counting only the distinct ones).

The product of its digits is 25920, while the sum is 30.

The square root of 34534632 is about 5876.6173943860. The cubic root of 34534632 is about 325.6503961659.

The spelling of 34534632 in words is "thirty-four million, five hundred thirty-four thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 257 264 509 514 771 1018 1028 1527 1542 2036 2056 2827 3054 3084 4072 5599 5654 6108 6168 8481 11198 11308 12216 16797 16962 22396 22616 33594 33924 44792 67188 67848 130813 134376 261626 392439 523252 784878 1046504 1438943 1569756 2877886 3139512 4316829 5755772 8633658 11511544 17267316 34534632