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34434450 = 23352231109
BaseRepresentation
bin1000001101011…
…0110110010010
32101210110012000
42003112312102
532303400300
63230014430
7565454661
oct203266622
971713160
1034434450
111848a126
12b647416
13719851b
144804dd8
153052c00
hex20d6d92

34434450 has 96 divisors (see below), whose sum is σ = 99100800. Its totient is φ = 8775360.

The previous prime is 34434391. The next prime is 34434451. The reversal of 34434450 is 5443443.

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

It is not an unprimeable number, because it can be changed into a prime (34434451) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30496 + ... + 31604.

It is an arithmetic number, because the mean of its divisors is an integer number (1032300).

Almost surely, 234434450 is an apocalyptic number.

34434450 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34434450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49550400).

34434450 is an abundant number, since it is smaller than the sum of its proper divisors (64666350).

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

34434450 is a wasteful number, since it uses less digits than its factorization.

34434450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1153 (or 1142 counting only the distinct ones).

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

The square root of 34434450 is about 5868.0874226617. The cubic root of 34434450 is about 325.3351965744.

Adding to 34434450 its reverse (5443443), we get a palindrome (39877893).

The spelling of 34434450 in words is "thirty-four million, four hundred thirty-four thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 23 25 27 30 45 46 50 54 69 75 90 115 135 138 150 207 225 230 270 345 414 450 575 621 675 690 1035 1109 1150 1242 1350 1725 2070 2218 3105 3327 3450 5175 5545 6210 6654 9981 10350 11090 15525 16635 19962 25507 27725 29943 31050 33270 49905 51014 55450 59886 76521 83175 99810 127535 149715 153042 166350 229563 249525 255070 299430 382605 459126 499050 637675 688689 748575 765210 1147815 1275350 1377378 1497150 1913025 2295630 3443445 3826050 5739075 6886890 11478150 17217225 34434450