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34414344 = 2332477977
BaseRepresentation
bin1000001101000…
…1111100001000
32101202102121100
42003101330020
532302224334
63225341400
7565342236
oct203217410
971672540
1034414344
1118476008
12b637860
13718c323
1447db956
15304bc99
hex20d1f08

34414344 has 24 divisors (see below), whose sum is σ = 93205710. Its totient is φ = 11471424.

The previous prime is 34414343. The next prime is 34414379. The reversal of 34414344 is 44341443.

It can be written as a sum of positive squares in only one way, i.e., 34222500 + 191844 = 5850^2 + 438^2 .

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

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

It is not an unprimeable number, because it can be changed into a prime (34414343) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 238917 + ... + 239060.

Almost surely, 234414344 is an apocalyptic number.

It is an amenable number.

34414344 is an abundant number, since it is smaller than the sum of its proper divisors (58791366).

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

34414344 is a wasteful number, since it uses less digits than its factorization.

34414344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477989 (or 477982 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

The square root of 34414344 is about 5866.3740078519. The cubic root of 34414344 is about 325.2718640398.

Adding to 34414344 its reverse (44341443), we get a palindrome (78755787).

The spelling of 34414344 in words is "thirty-four million, four hundred fourteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 477977 955954 1433931 1911908 2867862 3823816 4301793 5735724 8603586 11471448 17207172 34414344