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3427433316 = 223295206481
BaseRepresentation
bin1100110001001010…
…0111101101100100
322211212022122121200
43030102213231210
524004410331231
61324033442500
7150635462646
oct31422475544
98755278550
103427433316
1114a977341a
127b7a10430
1342810c768
142472ac896
15150d75be6
hexcc4a7b64

3427433316 has 18 divisors (see below), whose sum is σ = 8663789862. Its totient is φ = 1142477760.

The previous prime is 3427433287. The next prime is 3427433327. The reversal of 3427433316 is 6133347243.

3427433316 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3328828416 + 98604900 = 57696^2 + 9930^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 95206481 = 3427433316 / (3 + 4 + 2 + 7 + 4 + 3 + 3 + 3 + 1 + 6).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 47603205 + ... + 47603276.

It is an arithmetic number, because the mean of its divisors is an integer number (481321659).

Almost surely, 23427433316 is an apocalyptic number.

3427433316 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3427433316 is an abundant number, since it is smaller than the sum of its proper divisors (5236356546).

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

3427433316 is a wasteful number, since it uses less digits than its factorization.

3427433316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95206491 (or 95206486 counting only the distinct ones).

The product of its digits is 108864, while the sum is 36.

The square root of 3427433316 is about 58544.2850840285. The cubic root of 3427433316 is about 1507.7280154758.

The spelling of 3427433316 in words is "three billion, four hundred twenty-seven million, four hundred thirty-three thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 95206481 190412962 285619443 380825924 571238886 856858329 1142477772 1713716658 3427433316