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34838136 = 2332483863
BaseRepresentation
bin1000010011100…
…1011001111000
32102112221221100
42010321121320
532404310021
63242411400
7602055624
oct204713170
972487840
1034838136
1118735453
12b800b60
1372aa1a8
1448ac184
1530d2626
hex2139678

34838136 has 24 divisors (see below), whose sum is σ = 94353480. Its totient is φ = 11612688.

The previous prime is 34838107. The next prime is 34838159. The reversal of 34838136 is 63183843.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 34838136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 241860 + ... + 242003.

It is an arithmetic number, because the mean of its divisors is an integer number (3931395).

Almost surely, 234838136 is an apocalyptic number.

34838136 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34838136 is an abundant number, since it is smaller than the sum of its proper divisors (59515344).

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

34838136 is a wasteful number, since it uses less digits than its factorization.

34838136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483875 (or 483868 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 34838136 is about 5902.3839251611. The cubic root of 34838136 is about 326.6015965538.

The spelling of 34838136 in words is "thirty-four million, eight hundred thirty-eight thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 483863 967726 1451589 1935452 2903178 3870904 4354767 5806356 8709534 11612712 17419068 34838136