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3011042320 = 2451113436121
BaseRepresentation
bin1011001101111000…
…1101110000010000
321202211210210112221
42303132031300100
522131311323240
61214441030424
7134421303016
oct26336156020
97684723487
103011042320
111305722730
12700485414
1338ca7c660
14207c7c8b6
15129525a4a
hexb378dc10

3011042320 has 160 divisors (see below), whose sum is σ = 8417211264. Its totient is φ = 987033600.

The previous prime is 3011042311. The next prime is 3011042323. The reversal of 3011042320 is 232401103.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 3011042294 and 3011042303.

It is not an unprimeable number, because it can be changed into a prime (3011042323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 488860 + ... + 494980.

Almost surely, 23011042320 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 3011042320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4208605632).

3011042320 is an abundant number, since it is smaller than the sum of its proper divisors (5406168944).

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

3011042320 is a wasteful number, since it uses less digits than its factorization.

3011042320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6201 (or 6195 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 3011042320 is about 54872.9652925737. The cubic root of 3011042320 is about 1444.0169349078.

Adding to 3011042320 its reverse (232401103), we get a palindrome (3243443423).

The spelling of 3011042320 in words is "three billion, eleven million, forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 40 43 44 52 55 65 80 86 88 104 110 130 143 172 176 208 215 220 260 286 344 430 440 473 520 559 572 688 715 860 880 946 1040 1118 1144 1430 1720 1892 2236 2288 2365 2795 2860 3440 3784 4472 4730 5590 5720 6121 6149 7568 8944 9460 11180 11440 12242 12298 18920 22360 24484 24596 30605 30745 37840 44720 48968 49192 61210 61490 67331 79573 97936 98384 122420 122980 134662 159146 244840 245960 263203 269324 318292 336655 397865 489680 491920 526406 538648 636584 673310 795730 875303 1052812 1077296 1273168 1316015 1346620 1591460 1750606 2105624 2632030 2693240 2895233 3182920 3421639 3501212 4211248 4376515 5264060 5386480 5790466 6365840 6843278 7002424 8753030 10528120 11580932 13686556 14004848 14476165 17108195 17506060 21056240 23161864 27373112 28952330 34216390 35012120 37638029 46323728 54746224 57904660 68432780 70024240 75276058 115809320 136865560 150552116 188190145 231618640 273731120 301104232 376380290 602208464 752760580 1505521160 3011042320