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34422444 = 22327235939
BaseRepresentation
bin1000001101001…
…1111010101100
32101202211201100
42003103322230
532303004234
63225443100
7565404660
oct203237254
971684640
1034422444
1118481101
12b640490
137192c14
1448008a0
15304e399
hex20d3eac

34422444 has 72 divisors (see below), whose sum is σ = 103783680. Its totient is φ = 9405792.

The previous prime is 34422419. The next prime is 34422457. The reversal of 34422444 is 44422443.

It is a happy number.

34422444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2827 + ... + 8765.

It is an arithmetic number, because the mean of its divisors is an integer number (1441440).

Almost surely, 234422444 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 34422444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51891840).

34422444 is an abundant number, since it is smaller than the sum of its proper divisors (69361236).

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

34422444 is a wasteful number, since it uses less digits than its factorization.

34422444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5979 (or 5974 counting only the distinct ones).

The product of its digits is 12288, while the sum is 27.

The square root of 34422444 is about 5867.0643425822. The cubic root of 34422444 is about 325.2973814560.

Adding to 34422444 its reverse (44422443), we get a palindrome (78844887).

Subtracting 34422444 from its reverse (44422443), we obtain a palindrome (9999999).

It can be divided in two parts, 3442 and 2444, that added together give a triangular number (5886 = T108).

The spelling of 34422444 in words is "thirty-four million, four hundred twenty-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 63 69 84 92 126 138 161 207 252 276 322 414 483 644 828 966 1449 1932 2898 5796 5939 11878 17817 23756 35634 41573 53451 71268 83146 106902 124719 136597 166292 213804 249438 273194 374157 409791 498876 546388 748314 819582 956179 1229373 1496628 1639164 1912358 2458746 2868537 3824716 4917492 5737074 8605611 11474148 17211222 34422444