Search a number
-
+
1322444004 = 2237193126729
BaseRepresentation
bin100111011010010…
…1110010011100100
310102011102010010120
41032310232103210
510202021202004
6335120321540
744525405610
oct11664562344
93364363116
101322444004
11619537832
1230aa732b0
13180c9595b
14c78c4340
157b1753d9
hex4ed2e4e4

1322444004 has 96 divisors (see below), whose sum is σ = 3832012800. Its totient is φ = 346394880.

The previous prime is 1322444003. The next prime is 1322444027. The reversal of 1322444004 is 4004442231.

1322444004 = T11789 + T11790 + ... + T11807.

It is a happy number.

1322444004 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1322444003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36112 + ... + 62840.

It is an arithmetic number, because the mean of its divisors is an integer number (39916800).

Almost surely, 21322444004 is an apocalyptic number.

1322444004 is a gapful number since it is divisible by the number (14) 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 1322444004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1916006400).

1322444004 is an abundant number, since it is smaller than the sum of its proper divisors (2509568796).

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

1322444004 is a wasteful number, since it uses less digits than its factorization.

1322444004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26793 (or 26791 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 1322444004 is about 36365.4231929177. The cubic root of 1322444004 is about 1097.6379076845.

Adding to 1322444004 its reverse (4004442231), we get a palindrome (5326886235).

The spelling of 1322444004 in words is "one billion, three hundred twenty-two million, four hundred forty-four thousand, four".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 31 38 42 57 62 76 84 93 114 124 133 186 217 228 266 372 399 434 532 589 651 798 868 1178 1302 1596 1767 2356 2604 3534 4123 7068 8246 12369 16492 24738 26729 49476 53458 80187 106916 160374 187103 320748 374206 507851 561309 748412 828599 1015702 1122618 1523553 1657198 2031404 2245236 2485797 3047106 3314396 3554957 4971594 5800193 6094212 7109914 9943188 10664871 11600386 14219828 15743381 17400579 21329742 23200772 31486762 34801158 42659484 47230143 62973524 69602316 94460286 110203667 188920572 220407334 330611001 440814668 661222002 1322444004