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3340631712 = 253117614157
BaseRepresentation
bin1100011100011101…
…1111111010100000
322121210222200012110
43013013133322200
523320200203322
61311253155320
7145532621025
oct30707377240
98553880173
103340631712
111464777060
1279292bb40
1341313a572
1423995554c
1514842bc0c
hexc71dfea0

3340631712 has 96 divisors (see below), whose sum is σ = 9581229504. Its totient is φ = 1010739200.

The previous prime is 3340631677. The next prime is 3340631731. The reversal of 3340631712 is 2171360433.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×33406317122 = 22319640470440101888, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3340631712.

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, 801538 + ... + 805694.

It is an arithmetic number, because the mean of its divisors is an integer number (99804474).

Almost surely, 23340631712 is an apocalyptic number.

3340631712 is a gapful number since it is divisible by the number (32) 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 3340631712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4790614752).

3340631712 is an abundant number, since it is smaller than the sum of its proper divisors (6240597792).

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

3340631712 is a wasteful number, since it uses less digits than its factorization.

3340631712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4942 (or 4934 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 3340631712 is about 57798.1981726074. The cubic root of 3340631712 is about 1494.8910204189.

The spelling of 3340631712 in words is "three billion, three hundred forty million, six hundred thirty-one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 761 1056 1522 2283 3044 4157 4566 6088 8314 8371 9132 12176 12471 16628 16742 18264 24352 24942 25113 33256 33484 36528 45727 49884 50226 66512 66968 73056 91454 99768 100452 133024 133936 137181 182908 199536 200904 267872 274362 365816 399072 401808 548724 731632 803616 1097448 1463264 2194896 3163477 4389792 6326954 9490431 12653908 18980862 25307816 34798247 37961724 50615632 69596494 75923448 101231264 104394741 139192988 151846896 208789482 278385976 303693792 417578964 556771952 835157928 1113543904 1670315856 3340631712