Search a number
-
+
3444423300 = 22325210093793
BaseRepresentation
bin1100110101001101…
…1011101010000100
322220001021211111100
43031103123222010
524023233021200
61325441540100
7151233054303
oct31523335204
98801254440
103444423300
11150831822a
12801644630
1342b7aaac6
1424965243a
151525ced00
hexcd4dba84

3444423300 has 108 divisors (see below), whose sum is σ = 10809902740. Its totient is φ = 917360640.

The previous prime is 3444423289. The next prime is 3444423331. The reversal of 3444423300 is 33244443.

3444423300 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 556865604 + 2887557696 = 23598^2 + 53736^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 906204 + ... + 909996.

Almost surely, 23444423300 is an apocalyptic number.

3444423300 is a gapful number since it is divisible by the number (30) 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 3444423300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5404951370).

3444423300 is an abundant number, since it is smaller than the sum of its proper divisors (7365479440).

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

3444423300 is a wasteful number, since it uses less digits than its factorization.

3444423300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4822 (or 4812 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

The square root of 3444423300 is about 58689.2094000251. The cubic root of 3444423300 is about 1510.2152084243.

Adding to 3444423300 its reverse (33244443), we get a palindrome (3477667743).

The spelling of 3444423300 in words is "three billion, four hundred forty-four million, four hundred twenty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 1009 2018 3027 3793 4036 5045 6054 7586 9081 10090 11379 12108 15135 15172 18162 18965 20180 22758 25225 30270 34137 36324 37930 45405 45516 50450 56895 60540 68274 75675 75860 90810 94825 100900 113790 136548 151350 170685 181620 189650 227025 227580 284475 302700 341370 379300 454050 568950 682740 853425 908100 1137900 1706850 3413700 3827137 7654274 11481411 15308548 19135685 22962822 34444233 38271370 45925644 57407055 68888466 76542740 95678425 114814110 137776932 172221165 191356850 229628220 287035275 344442330 382713700 574070550 688884660 861105825 1148141100 1722211650 3444423300