Search a number
-
+
333423104 = 297313001
BaseRepresentation
bin10011110111111…
…010001000000000
3212020101122111212
4103313322020000
51140324014404
653030225252
711156023010
oct2367721000
9766348455
10333423104
11161232793
12937b5228
1354100ba1
14323d3c40
151e41206e
hex13dfa200

333423104 has 80 divisors (see below), whose sum is σ = 786187776. Its totient is φ = 138240000.

The previous prime is 333423071. The next prime is 333423109. The reversal of 333423104 is 401324333.

It is a super-2 number, since 2×3334231042 = 222341932561989632, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 333423104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (333423109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109604 + ... + 112604.

Almost surely, 2333423104 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 333423104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393093888).

333423104 is an abundant number, since it is smaller than the sum of its proper divisors (452764672).

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

333423104 is an equidigital number, since it uses as much as digits as its factorization.

333423104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3057 (or 3041 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

The square root of 333423104 is about 18259.8768889607. The cubic root of 333423104 is about 693.4235122677.

Adding to 333423104 its reverse (401324333), we get a palindrome (734747437).

The spelling of 333423104 in words is "three hundred thirty-three million, four hundred twenty-three thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 128 217 224 248 256 434 448 496 512 868 896 992 1736 1792 1984 3001 3472 3584 3968 6002 6944 7936 12004 13888 15872 21007 24008 27776 42014 48016 55552 84028 93031 96032 111104 168056 186062 192064 336112 372124 384128 651217 672224 744248 768256 1302434 1344448 1488496 1536512 2604868 2688896 2976992 5209736 5377792 5953984 10419472 10755584 11907968 20838944 23815936 41677888 47631872 83355776 166711552 333423104