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3340402020 = 2232541452629
BaseRepresentation
bin1100011100011010…
…0111110101100100
322121210120000010100
43013012213311210
523320120331040
61311244224100
7145530643254
oct30706476544
98553500110
103340402020
11146462a52a
1279283b030
13413089b57
142398d5964
151483d3b30
hexc71a7d64

3340402020 has 72 divisors (see below), whose sum is σ = 10379711160. Its totient is φ = 869045760.

The previous prime is 3340402003. The next prime is 3340402031. The reversal of 3340402020 is 202040433.

It can be written as a sum of positive squares in 4 ways, for example, as 255488256 + 3084913764 = 15984^2 + 55542^2 .

It is a super-2 number, since 2×33404020202 = 22316571310440160800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3340401984 and 3340402002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 218935 + ... + 233694.

It is an arithmetic number, because the mean of its divisors is an integer number (144162655).

Almost surely, 23340402020 is an apocalyptic number.

3340402020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3340402020 is an abundant number, since it is smaller than the sum of its proper divisors (7039309140).

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

3340402020 is a wasteful number, since it uses less digits than its factorization.

3340402020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452685 (or 452680 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 3340402020 is about 57796.2111214913. The cubic root of 3340402020 is about 1494.8567581986.

Adding to 3340402020 its reverse (202040433), we get a palindrome (3542442453).

The spelling of 3340402020 in words is "three billion, three hundred forty million, four hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 246 369 410 492 615 738 820 1230 1476 1845 2460 3690 7380 452629 905258 1357887 1810516 2263145 2715774 4073661 4526290 5431548 6789435 8147322 9052580 13578870 16294644 18557789 20368305 27157740 37115578 40736610 55673367 74231156 81473220 92788945 111346734 167020101 185577890 222693468 278366835 334040202 371155780 556733670 668080404 835100505 1113467340 1670201010 3340402020