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3399884020 = 2251329450913
BaseRepresentation
bin1100101010100110…
…0001110011110100
322202221111000002101
43022221201303310
523430332242040
61321211151444
7150152352211
oct31251416364
98687430071
103399884020
111495167205
127aa745584
134224b50c0
1424377ab08
1514d73309a
hexcaa61cf4

3399884020 has 48 divisors (see below), whose sum is σ = 7954122960. Its totient is φ = 1212051456.

The previous prime is 3399884017. The next prime is 3399884021. The reversal of 3399884020 is 204889933.

3399884020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1115426404 + 2284457616 = 33398^2 + 47796^2 .

It is a super-2 number, since 2×33998840202 = 23118422698902720800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3399884021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 217917 + ... + 232996.

It is an arithmetic number, because the mean of its divisors is an integer number (165710895).

Almost surely, 23399884020 is an apocalyptic number.

It is an amenable number.

3399884020 is an abundant number, since it is smaller than the sum of its proper divisors (4554238940).

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

3399884020 is a wasteful number, since it uses less digits than its factorization.

3399884020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450964 (or 450962 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 46.

The square root of 3399884020 is about 58308.5244196764. The cubic root of 3399884020 is about 1503.6774981185.

The spelling of 3399884020 in words is "three billion, three hundred ninety-nine million, eight hundred eighty-four thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 29 52 58 65 116 130 145 260 290 377 580 754 1508 1885 3770 7540 450913 901826 1803652 2254565 4509130 5861869 9018260 11723738 13076477 23447476 26152954 29309345 52305908 58618690 65382385 117237380 130764770 169994201 261529540 339988402 679976804 849971005 1699942010 3399884020