Search a number
-
+
3001030240 = 255131975937
BaseRepresentation
bin1011001011100000…
…0001011001100000
321202010222010120011
42302320001121200
522121230431430
61213442254304
7134240223205
oct26270013140
97663863504
103001030240
11130000448a
126b9057394
1338a985450
142067d3cac
151286e922a
hexb2e01660

3001030240 has 96 divisors (see below), whose sum is σ = 8037277920. Its totient is φ = 1049739264.

The previous prime is 3001030211. The next prime is 3001030283. The reversal of 3001030240 is 420301003.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 3001030240.

It is a congruent number.

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, 1552 + ... + 77488.

It is an arithmetic number, because the mean of its divisors is an integer number (83721645).

Almost surely, 23001030240 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 3001030240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4018638960).

3001030240 is an abundant number, since it is smaller than the sum of its proper divisors (5036247680).

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

3001030240 is a wasteful number, since it uses less digits than its factorization.

3001030240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75984 (or 75976 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 3001030240 is about 54781.6597046858. The cubic root of 3001030240 is about 1442.4146473231.

Adding to 3001030240 its reverse (420301003), we get a palindrome (3421331243).

The spelling of 3001030240 in words is "three billion, one million, thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 19 20 26 32 38 40 52 65 76 80 95 104 130 152 160 190 208 247 260 304 380 416 494 520 608 760 988 1040 1235 1520 1976 2080 2470 3040 3952 4940 7904 9880 19760 39520 75937 151874 303748 379685 607496 759370 987181 1214992 1442803 1518740 1974362 2429984 2885606 3037480 3948724 4935905 5771212 6074960 7214015 7897448 9871810 11542424 12149920 14428030 15794896 18756439 19743620 23084848 28856060 31589792 37512878 39487240 46169696 57712120 75025756 78974480 93782195 115424240 150051512 157948960 187564390 230848480 300103024 375128780 600206048 750257560 1500515120 3001030240