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34144044 = 22311376991
BaseRepresentation
bin1000001000111…
…1111100101100
32101020200211020
42002033330230
532220102134
63215454140
7563135214
oct202177454
971220736
1034144044
1118300a20
12b527350
1370c629c
14476b244
152ee6b49
hex208ff2c

34144044 has 48 divisors (see below), whose sum is σ = 89273856. Its totient is φ = 10065600.

The previous prime is 34144039. The next prime is 34144063. The reversal of 34144044 is 44044143.

34144044 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 1389 + ... + 8379.

It is an arithmetic number, because the mean of its divisors is an integer number (1859872).

Almost surely, 234144044 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 34144044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44636928).

34144044 is an abundant number, since it is smaller than the sum of its proper divisors (55129812).

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

34144044 is a wasteful number, since it uses less digits than its factorization.

34144044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7046 (or 7044 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 34144044 is about 5843.2905113472. The cubic root of 34144044 is about 324.4180322772.

Adding to 34144044 its reverse (44044143), we get a palindrome (78188187).

Subtracting 34144044 from its reverse (44044143), we obtain a palindrome (9900099).

The spelling of 34144044 in words is "thirty-four million, one hundred forty-four thousand, forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 132 148 222 407 444 814 1221 1628 2442 4884 6991 13982 20973 27964 41946 76901 83892 153802 230703 258667 307604 461406 517334 776001 922812 1034668 1552002 2845337 3104004 5690674 8536011 11381348 17072022 34144044