Search a number
-
+
3000305040 = 243534913581
BaseRepresentation
bin1011001011010101…
…0000010110010000
321202002121021202220
42302311100112100
522121034230130
61213414541040
7134231113005
oct26265202620
97662537686
103000305040
1112aa659647
126b8967780
1338a790335
142066858ac
15128604410
hexb2d50590

3000305040 has 80 divisors (see below), whose sum is σ = 9306207936. Its totient is φ = 799628800.

The previous prime is 3000305039. The next prime is 3000305041. The reversal of 3000305040 is 405030003.

It is an interprime number because it is at equal distance from previous prime (3000305039) and next prime (3000305041).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (3000305041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 836050 + ... + 839630.

Almost surely, 23000305040 is an apocalyptic number.

3000305040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3000305040 is an abundant number, since it is smaller than the sum of its proper divisors (6305902896).

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

3000305040 is a wasteful number, since it uses less digits than its factorization.

3000305040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7088 (or 7082 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 15.

The square root of 3000305040 is about 54775.0403012175. The cubic root of 3000305040 is about 1442.2984512961.

Adding to 3000305040 its reverse (405030003), we get a palindrome (3405335043).

The spelling of 3000305040 in words is "three billion, three hundred five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 3491 3581 6982 7162 10473 10743 13964 14324 17455 17905 20946 21486 27928 28648 34910 35810 41892 42972 52365 53715 55856 57296 69820 71620 83784 85944 104730 107430 139640 143240 167568 171888 209460 214860 279280 286480 418920 429720 837840 859440 12501271 25002542 37503813 50005084 62506355 75007626 100010168 125012710 150015252 187519065 200020336 250025420 300030504 375038130 500050840 600061008 750076260 1000101680 1500152520 3000305040