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34340544 = 2633717167
BaseRepresentation
bin1000001011111…
…1111011000000
32101121200101000
42002333323000
532242344134
63224012000
7564614130
oct202777300
971550330
1034340544
1118425617
12b601000
137164864
1447bcac0
153034e99
hex20bfec0

34340544 has 224 divisors, whose sum is σ = 122895360. Its totient is φ = 9179136.

The previous prime is 34340533. The next prime is 34340563. The reversal of 34340544 is 44504343.

34340544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 205549 + ... + 205715.

It is an arithmetic number, because the mean of its divisors is an integer number (548640).

Almost surely, 234340544 is an apocalyptic number.

34340544 is a gapful number since it is divisible by the number (34) 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 34340544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61447680).

34340544 is an abundant number, since it is smaller than the sum of its proper divisors (88554816).

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

34340544 is a wasteful number, since it uses less digits than its factorization.

34340544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 34340544 is about 5860.0805455215. The cubic root of 34340544 is about 325.0391873852.

Adding to 34340544 its reverse (44504343), we get a palindrome (78844887).

The spelling of 34340544 in words is "thirty-four million, three hundred forty thousand, five hundred forty-four".