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16034274 = 234293413
BaseRepresentation
bin111101001010…
…100111100010
31010011121220000
4331022213202
513101044044
61331400430
7253201104
oct75124742
933147800
1016034274
119061873
125453116
133425349
1421b5574
15161ad69
hexf4a9e2

16034274 has 40 divisors (see below), whose sum is σ = 37178460. Its totient is φ = 5158944.

The previous prime is 16034273. The next prime is 16034279. The reversal of 16034274 is 47243061.

It can be written as a sum of positive squares in 2 ways, for example, as 14768649 + 1265625 = 3843^2 + 1125^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (16034273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2992 + ... + 6404.

Almost surely, 216034274 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16034274, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18589230).

16034274 is an abundant number, since it is smaller than the sum of its proper divisors (21144186).

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

16034274 is a wasteful number, since it uses less digits than its factorization.

16034274 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3456 (or 3447 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 16034274 is about 4004.2819581043. The cubic root of 16034274 is about 252.1640088814.

The spelling of 16034274 in words is "sixteen million, thirty-four thousand, two hundred seventy-four".

Divisors: 1 2 3 6 9 18 27 29 54 58 81 87 162 174 261 522 783 1566 2349 3413 4698 6826 10239 20478 30717 61434 92151 98977 184302 197954 276453 296931 552906 593862 890793 1781586 2672379 5344758 8017137 16034274