Search a number
-
+
3034122200 = 235259389661
BaseRepresentation
bin1011010011011001…
…0000011111011000
321211110020101012022
42310312100133120
522203213402300
61221023434012
7135121420214
oct26466203730
97743211168
103034122200
111317756a0a
12708155908
133947a08a5
1420ad69944
1512b584285
hexb4d907d8

3034122200 has 96 divisors (see below), whose sum is σ = 7203222000. Its totient is φ = 1188211200.

The previous prime is 3034122197. The next prime is 3034122253. The reversal of 3034122200 is 22214303.

3034122200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4589870 + ... + 4590530.

Almost surely, 23034122200 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 3034122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3601611000).

3034122200 is an abundant number, since it is smaller than the sum of its proper divisors (4169099800).

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

3034122200 is a wasteful number, since it uses less digits than its factorization.

3034122200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1125 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 3034122200 is about 55082.8666646898. The cubic root of 3034122200 is about 1447.6970498046.

Adding to 3034122200 its reverse (22214303), we get a palindrome (3056336503).

The spelling of 3034122200 in words is "three billion, thirty-four million, one hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 59 100 118 200 236 295 389 472 590 661 778 1180 1322 1475 1556 1945 2360 2644 2950 3112 3305 3890 5288 5900 6610 7780 9725 11800 13220 15560 16525 19450 22951 26440 33050 38900 38999 45902 66100 77800 77998 91804 114755 132200 155996 183608 194995 229510 257129 311992 389990 459020 514258 573775 779980 918040 974975 1028516 1147550 1285645 1559960 1949950 2057032 2295100 2571290 3899900 4590200 5142580 6428225 7799800 10285160 12856450 15170611 25712900 30341222 51425800 60682444 75853055 121364888 151706110 303412220 379265275 606824440 758530550 1517061100 3034122200