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34060896 = 2532227521
BaseRepresentation
bin1000000111101…
…1101001100000
32101002110202200
42001323221200
532204422041
63214013200
7562340622
oct201735140
971073680
1034060896
1118254501
12b4a7200
13709749c
144748c12
152ecc1b6
hex207ba60

34060896 has 72 divisors (see below), whose sum is σ = 97474104. Its totient is φ = 11281920.

The previous prime is 34060891. The next prime is 34060931. The reversal of 34060896 is 69806043.

34060896 is a `hidden beast` number, since 3 + 40 + 608 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 34060896.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34060891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65116 + ... + 65636.

It is an arithmetic number, because the mean of its divisors is an integer number (1353807).

Almost surely, 234060896 is an apocalyptic number.

34060896 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34060896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48737052).

34060896 is an abundant number, since it is smaller than the sum of its proper divisors (63413208).

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

34060896 is a wasteful number, since it uses less digits than its factorization.

34060896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 34060896 is about 5836.1713477245. The cubic root of 34060896 is about 324.1544759490.

The spelling of 34060896 in words is "thirty-four million, sixty thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 227 288 454 521 681 908 1042 1362 1563 1816 2043 2084 2724 3126 3632 4086 4168 4689 5448 6252 7264 8172 8336 9378 10896 12504 16344 16672 18756 21792 25008 32688 37512 50016 65376 75024 118267 150048 236534 354801 473068 709602 946136 1064403 1419204 1892272 2128806 2838408 3784544 4257612 5676816 8515224 11353632 17030448 34060896