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3406367016 = 2332133639281
BaseRepresentation
bin1100101100001001…
…0000100100101000
322210101200101002100
43023002100210220
523434012221031
61322002133400
7150261433113
oct31302204450
98711611070
103406367016
111498894a58
127b0951260
13423944bb0
1424458757a
1514e0b3de6
hexcb090928

3406367016 has 48 divisors (see below), whose sum is σ = 9935239860. Its totient is φ = 1048112640.

The previous prime is 3406367011. The next prime is 3406367039. The reversal of 3406367016 is 6107636043.

It is a happy number.

3406367016 is a `hidden beast` number, since 3 + 4 + 0 + 636 + 7 + 0 + 16 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3390732900 + 15634116 = 58230^2 + 3954^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3406367011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1818705 + ... + 1820576.

Almost surely, 23406367016 is an apocalyptic number.

3406367016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3406367016 is an abundant number, since it is smaller than the sum of its proper divisors (6528872844).

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

3406367016 is a wasteful number, since it uses less digits than its factorization.

3406367016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3639306 (or 3639299 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 3406367016 is about 58364.0901239795. The cubic root of 3406367016 is about 1504.6326430165.

The spelling of 3406367016 in words is "three billion, four hundred six million, three hundred sixty-seven thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 3639281 7278562 10917843 14557124 21835686 29114248 32753529 43671372 47310653 65507058 87342744 94621306 131014116 141931959 189242612 262028232 283863918 378485224 425795877 567727836 851591754 1135455672 1703183508 3406367016