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3340456020 = 22325113674597
BaseRepresentation
bin1100011100011011…
…0101000001010100
322121210122202012100
43013012311001110
523320124043040
61311245322100
7145531256556
oct30706650124
98553582170
103340456020
111464667060
12792866330
134130a85c5
1423990b4d6
151483e4b30
hexc71b5054

3340456020 has 144 divisors (see below), whose sum is σ = 11086403328. Its totient is φ = 807425280.

The previous prime is 3340456013. The next prime is 3340456033. The reversal of 3340456020 is 206540433.

It is a super-2 number, since 2×33404560202 = 22317292843108480800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 724362 + ... + 728958.

It is an arithmetic number, because the mean of its divisors is an integer number (76988912).

Almost surely, 23340456020 is an apocalyptic number.

3340456020 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 3340456020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5543201664).

3340456020 is an abundant number, since it is smaller than the sum of its proper divisors (7745947308).

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

3340456020 is a wasteful number, since it uses less digits than its factorization.

3340456020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4990 (or 4985 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 3340456020 is about 57796.6782782540. The cubic root of 3340456020 is about 1494.8648132999.

Adding to 3340456020 its reverse (206540433), we get a palindrome (3546996453).

The spelling of 3340456020 in words is "three billion, three hundred forty million, four hundred fifty-six thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 367 396 495 660 734 990 1101 1468 1835 1980 2202 3303 3670 4037 4404 4597 5505 6606 7340 8074 9194 11010 12111 13212 13791 16148 16515 18388 20185 22020 22985 24222 27582 33030 36333 40370 41373 45970 48444 50567 55164 60555 66060 68955 72666 80740 82746 91940 101134 121110 137910 145332 151701 165492 181665 202268 206865 242220 252835 275820 303402 363330 413730 455103 505670 606804 726660 758505 827460 910206 1011340 1517010 1687099 1820412 2275515 3034020 3374198 4551030 5061297 6748396 8435495 9102060 10122594 15183891 16870990 18558089 20245188 25306485 30367782 33741980 37116178 50612970 55674267 60735564 74232356 75919455 92790445 101225940 111348534 151838910 167022801 185580890 222697068 278371335 303677820 334045602 371161780 556742670 668091204 835114005 1113485340 1670228010 3340456020