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34442368 = 27535077
BaseRepresentation
bin1000001101100…
…0110010000000
32101210212001021
42003120302000
532304123433
63230115224
7565520032
oct203306200
971725037
1034442368
1118495074
12b64bb14
13719bccc
144807c52
15305522d
hex20d8c80

34442368 has 32 divisors (see below), whose sum is σ = 69924060. Its totient is φ = 16892928.

The previous prime is 34442363. The next prime is 34442381. The reversal of 34442368 is 86324443.

It can be written as a sum of positive squares in 2 ways, for example, as 28643904 + 5798464 = 5352^2 + 2408^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (34442363) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4246 + ... + 9322.

Almost surely, 234442368 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 34442368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34962030).

34442368 is an abundant number, since it is smaller than the sum of its proper divisors (35481692).

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

34442368 is an equidigital number, since it uses as much as digits as its factorization.

34442368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5144 (or 5132 counting only the distinct ones).

The product of its digits is 55296, while the sum is 34.

The square root of 34442368 is about 5868.7620500409. The cubic root of 34442368 is about 325.3601309707.

The spelling of 34442368 in words is "thirty-four million, four hundred forty-two thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 424 848 1696 3392 5077 6784 10154 20308 40616 81232 162464 269081 324928 538162 649856 1076324 2152648 4305296 8610592 17221184 34442368