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16340016 = 2437114421
BaseRepresentation
bin111110010101…
…010000110000
31010202011021210
4332111100300
513140340031
61342120120
7255613350
oct76252060
933664253
1016340016
119250550
125580040
133501564
142254b60
15167b746
hexf95430

16340016 has 80 divisors (see below), whose sum is σ = 52639488. Its totient is φ = 4243200.

The previous prime is 16340003. The next prime is 16340033. The reversal of 16340016 is 61004361.

It is a super-2 number, since 2×163400162 = 533992245760512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 16339974 and 16340001.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1486 + ... + 5906.

Almost surely, 216340016 is an apocalyptic number.

16340016 is a gapful number since it is divisible by the number (16) 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 16340016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26319744).

16340016 is an abundant number, since it is smaller than the sum of its proper divisors (36299472).

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

16340016 is a wasteful number, since it uses less digits than its factorization.

16340016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4450 (or 4444 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 16340016 is about 4042.2785653638. The cubic root of 16340016 is about 253.7566851758.

Adding to 16340016 its reverse (61004361), we get a palindrome (77344377).

The spelling of 16340016 in words is "sixteen million, three hundred forty thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 462 528 616 924 1232 1848 3696 4421 8842 13263 17684 26526 30947 35368 48631 53052 61894 70736 92841 97262 106104 123788 145893 185682 194524 212208 247576 291786 340417 371364 389048 495152 583572 680834 742728 778096 1021251 1167144 1361668 1485456 2042502 2334288 2723336 4085004 5446672 8170008 16340016