Search a number
-
+
3030432444 = 223213173591061
BaseRepresentation
bin1011010010100000…
…1011101010111100
321211012021220210200
42310220023222330
522201242314234
61220412403500
7135045152004
oct26450135274
97735256720
103030432444
111315666826
12706a76590
13393aab2c0
1420a689004
1512b0a5d99
hexb4a0babc

3030432444 has 144 divisors (see below), whose sum is σ = 8767362240. Its totient is φ = 874321920.

The previous prime is 3030432443. The next prime is 3030432469. The reversal of 3030432444 is 4442340303.

3030432444 is a `hidden beast` number, since 30 + 304 + 324 + 4 + 4 = 666.

3030432444 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 not an unprimeable number, because it can be changed into a prime (3030432443) 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, 2855674 + ... + 2856734.

It is an arithmetic number, because the mean of its divisors is an integer number (60884460).

Almost surely, 23030432444 is an apocalyptic number.

3030432444 is a gapful number since it is divisible by the number (34) 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 3030432444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4383681120).

3030432444 is an abundant number, since it is smaller than the sum of its proper divisors (5736929796).

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

3030432444 is a wasteful number, since it uses less digits than its factorization.

3030432444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1460 (or 1455 counting only the distinct ones).

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

The square root of 3030432444 is about 55049.3637020447. The cubic root of 3030432444 is about 1447.1099699959.

Adding to 3030432444 its reverse (4442340303), we get a palindrome (7472772747).

The spelling of 3030432444 in words is "three billion, thirty million, four hundred thirty-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 34 36 39 51 52 68 78 102 117 153 156 204 221 234 306 359 442 468 612 663 718 884 1061 1077 1326 1436 1989 2122 2154 2652 3183 3231 3978 4244 4308 4667 6103 6366 6462 7956 9334 9549 12206 12732 12924 13793 14001 18037 18309 18668 19098 24412 27586 28002 36074 36618 38196 41379 42003 54111 54927 55172 56004 72148 73236 79339 82758 84006 108222 109854 124137 158678 162333 165516 168012 216444 219708 234481 238017 248274 317356 324666 380899 468962 476034 496548 649332 703443 714051 761798 937924 952068 1142697 1406886 1428102 1523596 2110329 2285394 2813772 2856204 3428091 4220658 4570788 4951687 6475283 6856182 8441316 9903374 12950566 13712364 14855061 19425849 19806748 25901132 29710122 38851698 44565183 58277547 59420244 77703396 84178679 89130366 116555094 168357358 178260732 233110188 252536037 336714716 505072074 757608111 1010144148 1515216222 3030432444