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3003140240 = 245295712267
BaseRepresentation
bin1011001100000000…
…0100100010010000
321202021221022221022
42303000010202100
522122300441430
61213555415012
7134264161622
oct26300044220
97667838838
103003140240
111301215791
126b98b4468
1338b243979
14206bc2c12
151289b44e5
hexb3004890

3003140240 has 80 divisors (see below), whose sum is σ = 7238911680. Its totient is φ = 1157291520.

The previous prime is 3003140237. The next prime is 3003140281. The reversal of 3003140240 is 420413003.

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

It is a super-2 number, since 2×30031402402 = 18037702602214515200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1323587 + ... + 1325853.

It is an arithmetic number, because the mean of its divisors is an integer number (90486396).

Almost surely, 23003140240 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 3003140240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3619455840).

3003140240 is an abundant number, since it is smaller than the sum of its proper divisors (4235771440).

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

3003140240 is a wasteful number, since it uses less digits than its factorization.

3003140240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2880 (or 2874 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 3003140240 is about 54800.9145909081. The cubic root of 3003140240 is about 1442.7526181371.

Adding to 3003140240 its reverse (420413003), we get a palindrome (3423553243).

The spelling of 3003140240 in words is "three billion, three million, one hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 571 580 1142 1160 2267 2284 2320 2855 4534 4568 5710 9068 9136 11335 11420 16559 18136 22670 22840 33118 36272 45340 45680 65743 66236 82795 90680 131486 132472 165590 181360 262972 264944 328715 331180 525944 657430 662360 1051888 1294457 1314860 1324720 2588914 2629720 5177828 5259440 6472285 10355656 12944570 20711312 25889140 37539253 51778280 75078506 103556560 150157012 187696265 300314024 375392530 600628048 750785060 1501570120 3003140240