Search a number
-
+
3046542444 = 22321147191857
BaseRepresentation
bin1011010110010110…
…1000110001101100
321212022121101120100
42311211220301230
522214403324234
61222145551100
7135332116641
oct26545506154
97768541510
103046542444
11132376a480
12710345490
1339722bc4a
1420c87ddc8
1512c6d9399
hexb5968c6c

3046542444 has 144 divisors (see below), whose sum is σ = 8634802176. Its totient is φ = 897772800.

The previous prime is 3046542439. The next prime is 3046542451. The reversal of 3046542444 is 4442456403.

3046542444 is a `hidden beast` number, since 30 + 46 + 542 + 4 + 44 = 666.

3046542444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3046542399 and 3046542408.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3554464 + ... + 3555320.

It is an arithmetic number, because the mean of its divisors is an integer number (59963904).

Almost surely, 23046542444 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 3046542444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4317401088).

3046542444 is an abundant number, since it is smaller than the sum of its proper divisors (5588259732).

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

3046542444 is a wasteful number, since it uses less digits than its factorization.

3046542444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1116 (or 1111 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

The square root of 3046542444 is about 55195.4929681763. The cubic root of 3046542444 is about 1449.6697534067.

Adding to 3046542444 its reverse (4442456403), we get a palindrome (7488998847).

It can be divided in two parts, 3046 and 542444, that added together give a triangular number (545490 = T1044).

The spelling of 3046542444 in words is "three billion, forty-six million, five hundred forty-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 47 66 94 99 132 141 188 191 198 282 382 396 423 517 564 573 764 846 857 1034 1146 1551 1692 1714 1719 2068 2101 2292 2571 3102 3428 3438 4202 4653 5142 6204 6303 6876 7713 8404 8977 9306 9427 10284 12606 15426 17954 18612 18854 18909 25212 26931 28281 30852 35908 37708 37818 40279 53862 56562 75636 80558 80793 84843 98747 107724 113124 120837 161116 161586 163687 169686 197494 241674 296241 323172 327374 339372 362511 394988 443069 483348 491061 592482 654748 725022 886138 888723 982122 1184964 1329207 1450044 1473183 1772276 1777446 1800557 1964244 2658414 2946366 3554892 3601114 3987621 5316828 5401671 5892732 7202228 7693289 7975242 10803342 15386578 15950484 16205013 21606684 23079867 30773156 32410026 46159734 64820052 69239601 84626179 92319468 138479202 169252358 253878537 276958404 338504716 507757074 761635611 1015514148 1523271222 3046542444