Search a number
-
+
3005045460 = 2233517327347
BaseRepresentation
bin1011001100011101…
…0101101011010100
321202102112010102000
42303013111223110
522123242423320
61214104315300
7134316315324
oct26307255324
97672463360
103005045460
1113022a714a
126ba472b30
1338b75cc11
1420715b284
15128c3dc90
hexb31d5ad4

3005045460 has 96 divisors (see below), whose sum is σ = 9899003520. Its totient is φ = 754205184.

The previous prime is 3005045389. The next prime is 3005045507. The reversal of 3005045460 is 645405003.

It is a super-2 number, since 2×30050454602 = 18060596433333223200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 154494 + ... + 172853.

It is an arithmetic number, because the mean of its divisors is an integer number (103114620).

Almost surely, 23005045460 is an apocalyptic number.

3005045460 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3005045460 is an abundant number, since it is smaller than the sum of its proper divisors (6893958060).

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

3005045460 is a wasteful number, since it uses less digits than its factorization.

3005045460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327382 (or 327374 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 3005045460 is about 54818.2949388249. The cubic root of 3005045460 is about 1443.0576521846.

The spelling of 3005045460 in words is "three billion, five million, forty-five thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 85 90 102 108 135 153 170 180 204 255 270 306 340 459 510 540 612 765 918 1020 1530 1836 2295 3060 4590 9180 327347 654694 982041 1309388 1636735 1964082 2946123 3273470 3928164 4910205 5564899 5892246 6546940 8838369 9820410 11129798 11784492 14730615 16694697 17676738 19640820 22259596 27824495 29461230 33389394 35353476 44191845 50084091 55648990 58922460 66778788 83473485 88383690 100168182 111297980 150252273 166946970 176767380 200336364 250420455 300504546 333893940 500840910 601009092 751261365 1001681820 1502522730 3005045460