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3013331640 = 2335114353089
BaseRepresentation
bin1011001110011011…
…1100101010111000
321210000010002220120
42303212330222320
522132403103030
61215002053240
7134446616304
oct26346745270
97700102816
103013331640
111306a46730
127011aa220
133903a1697
142082b6d04
15129829010
hexb39bcab8

3013331640 has 128 divisors (see below), whose sum is σ = 10091347200. Its totient is φ = 713502720.

The previous prime is 3013331639. The next prime is 3013331647. The reversal of 3013331640 is 461333103.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3013331640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3013331647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30216 + ... + 83304.

It is an arithmetic number, because the mean of its divisors is an integer number (78838650).

Almost surely, 23013331640 is an apocalyptic number.

3013331640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3013331640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5045673600).

3013331640 is an abundant number, since it is smaller than the sum of its proper divisors (7078015560).

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

3013331640 is a wasteful number, since it uses less digits than its factorization.

3013331640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53157 (or 53153 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

The square root of 3013331640 is about 54893.8215102574. The cubic root of 3013331640 is about 1444.3828081436.

Adding to 3013331640 its reverse (461333103), we get a palindrome (3474664743).

The spelling of 3013331640 in words is "three billion, thirteen million, three hundred thirty-one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 43 44 55 60 66 86 88 110 120 129 132 165 172 215 220 258 264 330 344 430 440 473 516 645 660 860 946 1032 1290 1320 1419 1720 1892 2365 2580 2838 3784 4730 5160 5676 7095 9460 11352 14190 18920 28380 53089 56760 106178 159267 212356 265445 318534 424712 530890 583979 637068 796335 1061780 1167958 1274136 1592670 1751937 2123560 2282827 2335916 2919895 3185340 3503874 4565654 4671832 5839790 6370680 6848481 7007748 8759685 9131308 11414135 11679580 13696962 14015496 17519370 18262616 22828270 23359160 25111097 27393924 34242405 35038740 45656540 50222194 54787848 68484810 70077480 75333291 91313080 100444388 125555485 136969620 150666582 200888776 251110970 273939240 301333164 376666455 502221940 602666328 753332910 1004443880 1506665820 3013331640