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3002241024 = 212349049
BaseRepresentation
bin1011001011110010…
…1001000000000000
321202020020122110000
42302330221000000
522122033203044
61213524240000
7134253425166
oct26274510000
97666218400
103002241024
111300761132
126b9540000
1338acba5a3
14206a2b236
15128887d69
hexb2f29000

3002241024 has 130 divisors (see below), whose sum is σ = 8969554550. Its totient is φ = 1000636416.

The previous prime is 3002241017. The next prime is 3002241061. The reversal of 3002241024 is 4201422003.

It can be written as a sum of positive squares in only one way, i.e., 2869530624 + 132710400 = 53568^2 + 11520^2 .

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 = 3002240988 and 3002241006.

It is a congruent number.

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 327252 + ... + 336300.

Almost surely, 23002241024 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 3002241024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4484777275).

3002241024 is an abundant number, since it is smaller than the sum of its proper divisors (5967313526).

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

3002241024 is an frugal number, since it uses more digits than its factorization.

3002241024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9085 (or 9054 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 3002241024 is about 54792.7095880465. The cubic root of 3002241024 is about 1442.6086049107.

Adding to 3002241024 its reverse (4201422003), we get a palindrome (7203663027).

The spelling of 3002241024 in words is "three billion, two million, two hundred forty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1024 1152 1296 1536 1728 2048 2304 2592 3072 3456 4096 4608 5184 6144 6912 9049 9216 10368 12288 13824 18098 18432 20736 27147 27648 36196 36864 41472 54294 55296 72392 81441 82944 108588 110592 144784 162882 165888 217176 244323 289568 325764 331776 434352 488646 579136 651528 732969 868704 977292 1158272 1303056 1465938 1737408 1954584 2316544 2606112 2931876 3474816 3909168 4633088 5212224 5863752 6949632 7818336 9266176 10424448 11727504 13899264 15636672 18532352 20848896 23455008 27798528 31273344 37064704 41697792 46910016 55597056 62546688 83395584 93820032 111194112 125093376 166791168 187640064 250186752 333582336 375280128 500373504 750560256 1000747008 1501120512 3002241024