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3380560020 = 2232524177929
BaseRepresentation
bin1100100101111111…
…0100000010010100
322201121010020112200
43021133310002110
523410410410040
61315241044500
7146526200055
oct31137640224
98647106480
103380560020
111485268862
127a4186730
1341b4aa596
14240d8a72c
1514bbb7630
hexc97f4094

3380560020 has 72 divisors (see below), whose sum is σ = 10297046760. Its totient is φ = 897730560.

The previous prime is 3380559983. The next prime is 3380560031. The reversal of 3380560020 is 200650833.

3380560020 is a `hidden beast` number, since 3 + 3 + 80 + 560 + 0 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1315948176 + 2064611844 = 36276^2 + 45438^2 .

It is a super-2 number, since 2×33805600202 = 22856372097644800800, 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 23 ways as a sum of consecutive naturals, for example, 4416 + ... + 82344.

Almost surely, 23380560020 is an apocalyptic number.

3380560020 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 3380560020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5148523380).

3380560020 is an abundant number, since it is smaller than the sum of its proper divisors (6916486740).

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

3380560020 is a wasteful number, since it uses less digits than its factorization.

3380560020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78185 (or 78180 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 3380560020 is about 58142.5835339298. The cubic root of 3380560020 is about 1500.8232547517.

The spelling of 3380560020 in words is "three billion, three hundred eighty million, five hundred sixty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 241 482 723 964 1205 1446 2169 2410 2892 3615 4338 4820 7230 8676 10845 14460 21690 43380 77929 155858 233787 311716 389645 467574 701361 779290 935148 1168935 1402722 1558580 2337870 2805444 3506805 4675740 7013610 14027220 18780889 37561778 56342667 75123556 93904445 112685334 169028001 187808890 225370668 281713335 338056002 375617780 563426670 676112004 845140005 1126853340 1690280010 3380560020