Search a number
-
+
3003221034 = 2321129563929
BaseRepresentation
bin1011001100000001…
…1000010000101010
321202022002102202200
42303000120100222
522122311033114
61214001241030
7134264646312
oct26300302052
97668072680
103003221034
111301270460
126b9933176
1338b271688
14206c04442
151289cd409
hexb301842a

3003221034 has 96 divisors (see below), whose sum is σ = 7364260800. Its totient is φ = 876180480.

The previous prime is 3003221033. The next prime is 3003221041. The reversal of 3003221034 is 4301223003.

3003221034 is a `hidden beast` number, since 300 + 322 + 10 + 34 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3003220998 and 3003221016.

It is not an unprimeable number, because it can be changed into a prime (3003221033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3232282 + ... + 3233210.

It is an arithmetic number, because the mean of its divisors is an integer number (76711050).

Almost surely, 23003221034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3003221034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3682130400).

3003221034 is an abundant number, since it is smaller than the sum of its proper divisors (4361039766).

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

3003221034 is a wasteful number, since it uses less digits than its factorization.

3003221034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1540 (or 1537 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 3003221034 is about 54801.6517451801. The cubic root of 3003221034 is about 1442.7655562286.

Adding to 3003221034 its reverse (4301223003), we get a palindrome (7304444037).

The spelling of 3003221034 in words is "three billion, three million, two hundred twenty-one thousand, thirty-four".

Divisors: 1 2 3 6 9 11 18 22 29 33 58 66 87 99 174 198 261 319 522 563 638 929 957 1126 1689 1858 1914 2787 2871 3378 5067 5574 5742 6193 8361 10134 10219 12386 16327 16722 18579 20438 26941 30657 32654 37158 48981 53882 55737 61314 80823 91971 97962 111474 146943 161646 179597 183942 242469 293886 296351 359194 484938 523027 538791 592702 889053 1046054 1077582 1569081 1616373 1778106 2667159 3138162 3232746 4707243 5334318 5753297 9414486 11506594 15167783 17259891 30335566 34519782 45503349 51779673 91006698 103559346 136510047 166845613 273020094 333691226 500536839 1001073678 1501610517 3003221034