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3002311004 = 2271167731993
BaseRepresentation
bin1011001011110011…
…1010000101011100
321202020101012102212
42302330322011130
522122042423004
61213525535552
7134254136210
oct26274720534
97666335385
103002311004
1113007a9770
126b95745b8
1338b0133b4
14206a48940
1512889d96e
hexb2f3a15c

3002311004 has 96 divisors (see below), whose sum is σ = 6742718976. Its totient is φ = 1135918080.

The previous prime is 3002310991. The next prime is 3002311019. The reversal of 3002311004 is 4001132003.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a self number, because there is not a number n which added to its sum of digits gives 3002311004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1505432 + ... + 1507424.

It is an arithmetic number, because the mean of its divisors is an integer number (70236656).

Almost surely, 23002311004 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 3002311004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3371359488).

3002311004 is an abundant number, since it is smaller than the sum of its proper divisors (3740407972).

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

3002311004 is a wasteful number, since it uses less digits than its factorization.

3002311004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2155 (or 2153 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 3002311004 is about 54793.3481729306. The cubic root of 3002311004 is about 1442.6198135339.

Adding to 3002311004 its reverse (4001132003), we get a palindrome (7003443007).

The spelling of 3002311004 in words is "three billion, two million, three hundred eleven thousand, four".

Divisors: 1 2 4 7 11 14 22 28 44 67 73 77 134 146 154 268 292 308 469 511 737 803 938 1022 1474 1606 1876 1993 2044 2948 3212 3986 4891 5159 5621 7972 9782 10318 11242 13951 19564 20636 21923 22484 27902 34237 43846 53801 55804 68474 87692 107602 133531 136948 145489 153461 215204 267062 290978 306922 376607 534124 581956 613844 753214 934717 1018423 1468841 1506428 1600379 1869434 2036846 2937682 3200758 3738868 4073692 5875364 6401516 9747763 10281887 11202653 19495526 20563774 22405306 38991052 41127548 44810612 68234341 107225393 136468682 214450786 272937364 428901572 750577751 1501155502 3002311004