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16274034 = 2347113127
BaseRepresentation
bin111110000101…
…001001110010
31010121210210000
4332011021302
513131232114
61340450430
7255220110
oct76051162
933553700
1016274034
119205a17
125549a16
1334aa50a
142238ab0
151666e09
hexf85272

16274034 has 80 divisors (see below), whose sum is σ = 42375168. Its totient is φ = 4572288.

The previous prime is 16274033. The next prime is 16274047. The reversal of 16274034 is 43047261.

16274034 is a `hidden beast` number, since 1 + 627 + 4 + 0 + 34 = 666.

16274034 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 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 a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 16273989 and 16274007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16274033) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 128079 + ... + 128205.

Almost surely, 216274034 is an apocalyptic number.

16274034 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 16274034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21187584).

16274034 is an abundant number, since it is smaller than the sum of its proper divisors (26101134).

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

16274034 is a wasteful number, since it uses less digits than its factorization.

16274034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 252 counting only the distinct ones).

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

The square root of 16274034 is about 4034.1088235198. The cubic root of 16274034 is about 253.4146626379.

The spelling of 16274034 in words is "sixteen million, two hundred seventy-four thousand, thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 113 126 127 162 189 226 254 339 378 381 567 678 762 791 889 1017 1134 1143 1582 1778 2034 2286 2373 2667 3051 3429 4746 5334 6102 6858 7119 8001 9153 10287 14238 14351 16002 18306 20574 21357 24003 28702 42714 43053 48006 64071 72009 86106 100457 128142 129159 144018 200914 258318 301371 387477 602742 774954 904113 1162431 1808226 2324862 2712339 5424678 8137017 16274034