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3023341104 = 2437194011181
BaseRepresentation
bin1011010000110100…
…1000011000110000
321210200221122022110
42310031020120300
522142433403404
61220000405320
7134630655360
oct26415103060
97720848273
103023341104
111311662a13
12704616840
13392497644
142097609a0
1512a654b89
hexb4348630

3023341104 has 160 divisors (see below), whose sum is σ = 9427253760. Its totient is φ = 815616000.

The previous prime is 3023341093. The next prime is 3023341159. The reversal of 3023341104 is 4011433203.

It is a super-2 number, since 2×30233411042 = 18281182862271877632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2559394 + ... + 2560574.

It is an arithmetic number, because the mean of its divisors is an integer number (58920336).

Almost surely, 23023341104 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 3023341104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4713626880).

3023341104 is an abundant number, since it is smaller than the sum of its proper divisors (6403912656).

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

3023341104 is a wasteful number, since it uses less digits than its factorization.

3023341104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1619 (or 1613 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 3023341104 is about 54984.9170591354. The cubic root of 3023341104 is about 1445.9803222320.

Adding to 3023341104 its reverse (4011433203), we get a palindrome (7034774307).

The spelling of 3023341104 in words is "three billion, twenty-three million, three hundred forty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 133 152 168 228 266 304 336 399 401 456 532 798 802 912 1064 1181 1203 1596 1604 2128 2362 2406 2807 3192 3208 3543 4724 4812 5614 6384 6416 7086 7619 8267 8421 9448 9624 11228 14172 15238 16534 16842 18896 19248 22439 22456 22857 24801 28344 30476 33068 33684 44878 44912 45714 49602 53333 56688 60952 66136 67317 67368 89756 91428 99204 106666 121904 132272 134634 134736 157073 159999 179512 182856 198408 213332 269268 314146 319998 359024 365712 396816 426664 471219 473581 538536 628292 639996 853328 942438 947162 1077072 1256584 1279992 1420743 1884876 1894324 2513168 2559984 2841486 3315067 3769752 3788648 5682972 6630134 7539504 7577296 8998039 9945201 11365944 13260268 17996078 19890402 22731888 26520536 26994117 35992156 39780804 53041072 53988234 62986273 71984312 79561608 107976468 125972546 143968624 159123216 188958819 215952936 251945092 377917638 431905872 503890184 755835276 1007780368 1511670552 3023341104