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3116312240 = 245163353677
BaseRepresentation
bin1011100110111111…
…0010011010110000
322001011220001201212
42321233302122300
522340233442430
61233121215252
7140140134266
oct27157623260
98034801655
103116312240
11135a093568
1272b791528
133a8819a52
14217c42436
151338bbb95
hexb9bf26b0

3116312240 has 80 divisors (see below), whose sum is σ = 7321326048. Its totient is φ = 1233543168.

The previous prime is 3116312237. The next prime is 3116312249. The reversal of 3116312240 is 422136113.

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

It is a super-2 number, since 2×31163122402 = 19422803954347635200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3116312249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4602782 + ... + 4603458.

Almost surely, 23116312240 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 3116312240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3660663024).

3116312240 is an abundant number, since it is smaller than the sum of its proper divisors (4205013808).

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

3116312240 is a wasteful number, since it uses less digits than its factorization.

3116312240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1206 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 3116312240 is about 55823.9396674939. The cubic root of 3116312240 is about 1460.6527762135.

Adding to 3116312240 its reverse (422136113), we get a palindrome (3538448353).

The spelling of 3116312240 in words is "three billion, one hundred sixteen million, three hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 163 326 353 652 677 706 815 1304 1354 1412 1630 1765 2608 2708 2824 3260 3385 3530 5416 5648 6520 6770 7060 10832 13040 13540 14120 27080 28240 54160 57539 110351 115078 220702 230156 238981 287695 441404 460312 477962 551755 575390 882808 920624 955924 1103510 1150780 1194905 1765616 1911848 2207020 2301560 2389810 3823696 4414040 4603120 4779620 8828080 9559240 19118480 38953903 77907806 155815612 194769515 311631224 389539030 623262448 779078060 1558156120 3116312240