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16314354 = 2327253349
BaseRepresentation
bin111110001110…
…111111110010
31010200212002100
4332032333302
513134024404
61341401230
7255445500
oct76167762
933625070
1016314354
119233241
125569216
1334c2984
142249670
151673d39
hexf8eff2

16314354 has 72 divisors (see below), whose sum is σ = 42014700. Its totient is φ = 4560192.

The previous prime is 16314349. The next prime is 16314359. The reversal of 16314354 is 45341361.

It is an interprime number because it is at equal distance from previous prime (16314349) and next prime (16314359).

It can be written as a sum of positive squares in 2 ways, for example, as 15421329 + 893025 = 3927^2 + 945^2 .

It is not an unprimeable number, because it can be changed into a prime (16314359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 46572 + ... + 46920.

Almost surely, 216314354 is an apocalyptic number.

16314354 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 16314354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21007350).

16314354 is an abundant number, since it is smaller than the sum of its proper divisors (25700346).

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

16314354 is a wasteful number, since it uses less digits than its factorization.

16314354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 414 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 16314354 is about 4039.1031182677. The cubic root of 16314354 is about 253.6237739225.

The spelling of 16314354 in words is "sixteen million, three hundred fourteen thousand, three hundred fifty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 53 63 98 106 126 147 159 294 318 349 371 441 477 698 742 882 954 1047 1113 2094 2226 2443 2597 3141 3339 4886 5194 6282 6678 7329 7791 14658 15582 17101 18497 21987 23373 34202 36994 43974 46746 51303 55491 102606 110982 129479 153909 166473 258958 307818 332946 388437 776874 906353 1165311 1812706 2330622 2719059 5438118 8157177 16314354