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3365476740 = 22325171139733
BaseRepresentation
bin1100100010011001…
…0001100110000100
322200112201221011200
43020212101212010
523343030223430
61313541502500
7146254036353
oct31046214604
98615657150
103365476740
1114777a653a
1279b111a30
13418329072
1423cd8199a
1514a6d8460
hexc8991984

3365476740 has 144 divisors (see below), whose sum is σ = 10905895728. Its totient is φ = 837107712.

The previous prime is 3365476739. The next prime is 3365476753. The reversal of 3365476740 is 476745633.

3365476740 is a `hidden beast` number, since 3 + 3 + 6 + 547 + 67 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5419584 + 3360057156 = 2328^2 + 57966^2 .

It is a super-2 number, since 2×33654767402 = 22652867374962055200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 340914 + ... + 350646.

It is an arithmetic number, because the mean of its divisors is an integer number (75735387).

Almost surely, 23365476740 is an apocalyptic number.

3365476740 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 3365476740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5452947864).

3365476740 is an abundant number, since it is smaller than the sum of its proper divisors (7540418988).

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

3365476740 is a wasteful number, since it uses less digits than its factorization.

3365476740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9878 (or 9873 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 45.

The square root of 3365476740 is about 58012.7291204267. The cubic root of 3365476740 is about 1498.5878175778.

The spelling of 3365476740 in words is "three billion, three hundred sixty-five million, four hundred seventy-six thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 113 153 170 180 204 226 255 306 339 340 452 510 565 612 678 765 1017 1020 1130 1356 1530 1695 1921 2034 2260 3060 3390 3842 4068 5085 5763 6780 7684 9605 9733 10170 11526 17289 19210 19466 20340 23052 28815 29199 34578 38420 38932 48665 57630 58398 69156 86445 87597 97330 115260 116796 145995 165461 172890 175194 194660 291990 330922 345780 350388 437985 496383 583980 661844 827305 875970 992766 1099829 1489149 1654610 1751940 1985532 2199658 2481915 2978298 3299487 3309220 4399316 4963830 5499145 5956596 6598974 7445745 9898461 9927660 10998290 13197948 14891490 16497435 18697093 19796922 21996580 29782980 32994870 37394186 39593844 49492305 56091279 65989740 74788372 93485465 98984610 112182558 168273837 186970930 197969220 224365116 280456395 336547674 373941860 560912790 673095348 841369185 1121825580 1682738370 3365476740