Search a number
-
+
16994304 = 21232461
BaseRepresentation
bin100000011010…
…1000000000000
31011222101210200
41000311000000
513322304204
61404125200
7264310035
oct100650000
934871720
1016994304
119658088
125836800
1336a0302
14238538c
15175a539
hex1035000

16994304 has 78 divisors (see below), whose sum is σ = 49195146. Its totient is φ = 5652480.

The previous prime is 16994297. The next prime is 16994317. The reversal of 16994304 is 40349961.

It can be written as a sum of positive squares in only one way, i.e., 13307904 + 3686400 = 3648^2 + 1920^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 36634 + ... + 37094.

It is an arithmetic number, because the mean of its divisors is an integer number (630707).

Almost surely, 216994304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16994304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24597573).

16994304 is an abundant number, since it is smaller than the sum of its proper divisors (32200842).

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

16994304 is an equidigital number, since it uses as much as digits as its factorization.

16994304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 16994304 is about 4122.4148262881. The cubic root of 16994304 is about 257.0994381717.

The spelling of 16994304 in words is "sixteen million, nine hundred ninety-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 461 512 576 768 922 1024 1152 1383 1536 1844 2048 2304 2766 3072 3688 4096 4149 4608 5532 6144 7376 8298 9216 11064 12288 14752 16596 18432 22128 29504 33192 36864 44256 59008 66384 88512 118016 132768 177024 236032 265536 354048 472064 531072 708096 944128 1062144 1416192 1888256 2124288 2832384 4248576 5664768 8497152 16994304