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3002331240 = 2332517490577
BaseRepresentation
bin1011001011110011…
…1111000001101000
321202020102020012100
42302330333001220
522122044044430
61213530213400
7134254252206
oct26274770150
97666366170
103002331240
111300812997
126b9584260
1338b01c67c
14206a52076
151288a4960
hexb2f3f068

3002331240 has 96 divisors (see below), whose sum is σ = 10331572680. Its totient is φ = 753524736.

The previous prime is 3002331221. The next prime is 3002331259. The reversal of 3002331240 is 421332003.

It is an interprime number because it is at equal distance from previous prime (3002331221) and next prime (3002331259).

It can be written as a sum of positive squares in 4 ways, for example, as 2605285764 + 397045476 = 51042^2 + 19926^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 23 ways as a sum of consecutive naturals, for example, 239169 + ... + 251408.

Almost surely, 23002331240 is an apocalyptic number.

3002331240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3002331240 is an abundant number, since it is smaller than the sum of its proper divisors (7329241440).

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

3002331240 is a wasteful number, since it uses less digits than its factorization.

3002331240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490611 (or 490604 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 3002331240 is about 54793.5328300704. The cubic root of 3002331240 is about 1442.6230546804.

Adding to 3002331240 its reverse (421332003), we get a palindrome (3423663243).

The spelling of 3002331240 in words is "three billion, two million, three hundred thirty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 30 34 36 40 45 51 60 68 72 85 90 102 120 136 153 170 180 204 255 306 340 360 408 510 612 680 765 1020 1224 1530 2040 3060 6120 490577 981154 1471731 1962308 2452885 2943462 3924616 4415193 4905770 5886924 7358655 8339809 8830386 9811540 11773848 14717310 16679618 17660772 19623080 22075965 25019427 29434620 33359236 35321544 41699045 44151930 50038854 58869240 66718472 75058281 83398090 88303860 100077708 125097135 150116562 166796180 176607720 200155416 250194270 300233124 333592360 375291405 500388540 600466248 750582810 1000777080 1501165620 3002331240