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34314444 = 2232953179
BaseRepresentation
bin1000001011100…
…1100011001100
32101120100120100
42002321203030
532241030234
63223251100
7564445053
oct202714314
971510510
1034314444
1118407a4a
12b5a9a90
137155a08
1447b339a
15302c399
hex20b98cc

34314444 has 18 divisors (see below), whose sum is σ = 86739380. Its totient is φ = 11438136.

The previous prime is 34314431. The next prime is 34314463. The reversal of 34314444 is 44441343.

It is a tau number, because it is divible by the number of its divisors (18).

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

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 476554 + ... + 476625.

Almost surely, 234314444 is an apocalyptic number.

It is an amenable number.

34314444 is an abundant number, since it is smaller than the sum of its proper divisors (52424936).

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

34314444 is a wasteful number, since it uses less digits than its factorization.

34314444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953189 (or 953184 counting only the distinct ones).

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

The square root of 34314444 is about 5857.8531903761. The cubic root of 34314444 is about 324.9568195097.

Adding to 34314444 its reverse (44441343), we get a palindrome (78755787).

It can be divided in two parts, 3431 and 4444, that added together give a triangular number (7875 = T125).

The spelling of 34314444 in words is "thirty-four million, three hundred fourteen thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 953179 1906358 2859537 3812716 5719074 8578611 11438148 17157222 34314444