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3020320224 = 25346471801
BaseRepresentation
bin1011010000000110…
…0110110111100000
321210111021011110000
42310001212313200
522141200221344
61215411540000
7134563204215
oct26401466740
97714234400
103020320224
11130a98a319
127035ba600
1339197a63c
142091b5b0c
1512a259a69
hexb4066de0

3020320224 has 120 divisors (see below), whose sum is σ = 8901346608. Its totient is φ = 1004659200.

The previous prime is 3020320207. The next prime is 3020320229. The reversal of 3020320224 is 4220230203.

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 = 3020320197 and 3020320206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3020320229) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1676124 + ... + 1677924.

Almost surely, 23020320224 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 3020320224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4450673304).

3020320224 is an abundant number, since it is smaller than the sum of its proper divisors (5881026384).

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

3020320224 is a wasteful number, since it uses less digits than its factorization.

3020320224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2470 (or 2453 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 3020320224 is about 54957.4401150563. The cubic root of 3020320224 is about 1445.4985606585.

Adding to 3020320224 its reverse (4220230203), we get a palindrome (7240550427).

The spelling of 3020320224 in words is "three billion, twenty million, three hundred twenty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 647 648 864 1294 1296 1801 1941 2588 2592 3602 3882 5176 5403 5823 7204 7764 10352 10806 11646 14408 15528 16209 17469 20704 21612 23292 28816 31056 32418 34938 43224 46584 48627 52407 57632 62112 64836 69876 86448 93168 97254 104814 129672 139752 145881 172896 186336 194508 209628 259344 279504 291762 389016 419256 518688 559008 583524 778032 838512 1165247 1167048 1556064 1677024 2330494 2334096 3495741 4660988 4668192 6991482 9321976 10487223 13982964 18643952 20974446 27965928 31461669 37287904 41948892 55931856 62923338 83897784 94385007 111863712 125846676 167795568 188770014 251693352 335591136 377540028 503386704 755080056 1006773408 1510160112 3020320224