Search a number
-
+
16434432 = 283271019
BaseRepresentation
bin111110101100…
…010100000000
31010220221210200
4332230110000
513201400212
61344125200
7256455540
oct76542400
933827720
1016434432
119305483
125606800
133535521
14227b320
1516996dc
hexfac500

16434432 has 108 divisors (see below), whose sum is σ = 54206880. Its totient is φ = 4690944.

The previous prime is 16434413. The next prime is 16434463. The reversal of 16434432 is 23443461.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 16434396 and 16434405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15619 + ... + 16637.

Almost surely, 216434432 is an apocalyptic number.

16434432 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 16434432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27103440).

16434432 is an abundant number, since it is smaller than the sum of its proper divisors (37772448).

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

16434432 is a wasteful number, since it uses less digits than its factorization.

16434432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1048 (or 1031 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 16434432 is about 4053.9403054312. The cubic root of 16434432 is about 254.2444997258.

Adding to 16434432 its reverse (23443461), we get a palindrome (39877893).

It can be divided in two parts, 164 and 34432, that added together give a square (34596 = 1862).

The spelling of 16434432 in words is "sixteen million, four hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 576 672 768 896 1008 1019 1152 1344 1792 2016 2038 2304 2688 3057 4032 4076 5376 6114 7133 8064 8152 9171 12228 14266 16128 16304 18342 21399 24456 28532 32608 36684 42798 48912 57064 64197 65216 73368 85596 97824 114128 128394 130432 146736 171192 195648 228256 256788 260864 293472 342384 391296 456512 513576 586944 684768 782592 913024 1027152 1173888 1369536 1826048 2054304 2347776 2739072 4108608 5478144 8217216 16434432