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16314012 = 223211133169
BaseRepresentation
bin111110001110…
…111010011100
31010200211121200
4332032322130
513134022022
61341355500
7255444501
oct76167234
933624550
1016314012
119232a60
125568b90
1334c2780
1422494a8
151673bac
hexf8ee9c

16314012 has 72 divisors (see below), whose sum is σ = 48462960. Its totient is φ = 4561920.

The previous prime is 16314007. The next prime is 16314019. The reversal of 16314012 is 21041361.

It is a happy number.

It is a super-2 number, since 2×163140122 = 532293975072288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16314019) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3564 + ... + 6732.

Almost surely, 216314012 is an apocalyptic number.

16314012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16314012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24231480).

16314012 is an abundant number, since it is smaller than the sum of its proper divisors (32148948).

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

16314012 is a wasteful number, since it uses less digits than its factorization.

16314012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3203 (or 3198 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 16314012 is about 4039.0607819145. The cubic root of 16314012 is about 253.6220016604.

Adding to 16314012 its reverse (21041361), we get a palindrome (37355373).

It can be divided in two parts, 16 and 314012, that added together give a triangular number (314028 = T792).

The spelling of 16314012 in words is "sixteen million, three hundred fourteen thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 99 117 132 143 156 198 234 286 396 429 468 572 858 1287 1716 2574 3169 5148 6338 9507 12676 19014 28521 34859 38028 41197 57042 69718 82394 104577 114084 123591 139436 164788 209154 247182 313731 370773 418308 453167 494364 627462 741546 906334 1254924 1359501 1483092 1812668 2719002 4078503 5438004 8157006 16314012