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3040311420 = 22325127179743
BaseRepresentation
bin1011010100110111…
…0111100001111100
321211212212211012200
42311031313201330
522211304431140
61221404231500
7135225135456
oct26515674174
97755784180
103040311420
1113201a3a73
1270a23b590
13395b59a53
1420badb2d6
1512bda8030
hexb537787c

3040311420 has 144 divisors (see below), whose sum is σ = 9359400960. Its totient is φ = 798795648.

The previous prime is 3040311413. The next prime is 3040311427. The reversal of 3040311420 is 241130403.

It is an interprime number because it is at equal distance from previous prime (3040311413) and next prime (3040311427).

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 = 3040311393 and 3040311402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3040311427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4091569 + ... + 4092311.

It is an arithmetic number, because the mean of its divisors is an integer number (64995840).

Almost surely, 23040311420 is an apocalyptic number.

3040311420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3040311420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4679700480).

3040311420 is an abundant number, since it is smaller than the sum of its proper divisors (6319089540).

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

3040311420 is a wasteful number, since it uses less digits than its factorization.

3040311420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3040311420 is about 55139.0190337115. The cubic root of 3040311420 is about 1448.6807533103.

Adding to 3040311420 its reverse (241130403), we get a palindrome (3281441823).

The spelling of 3040311420 in words is "three billion, forty million, three hundred eleven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 127 179 180 254 358 381 508 537 635 716 743 762 895 1074 1143 1270 1486 1524 1611 1790 1905 2148 2229 2286 2540 2685 2972 3222 3580 3715 3810 4458 4572 5370 5715 6444 6687 7430 7620 8055 8916 10740 11145 11430 13374 14860 16110 22290 22733 22860 26748 32220 33435 44580 45466 66870 68199 90932 94361 113665 132997 133740 136398 188722 204597 227330 265994 272796 283083 340995 377444 398991 409194 454660 471805 531988 566166 664985 681990 797982 818388 849249 943610 1022985 1132332 1196973 1329970 1363980 1415415 1595964 1698498 1887220 1994955 2045970 2393946 2659940 2830830 3396996 3989910 4091940 4246245 4787892 5661660 5984865 7979820 8492490 11969730 16890619 16984980 23939460 33781238 50671857 67562476 84453095 101343714 152015571 168906190 202687428 253359285 304031142 337812380 506718570 608062284 760077855 1013437140 1520155710 3040311420