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328044032 = 292389313
BaseRepresentation
bin10011100011011…
…000111000000000
3211212021100210222
4103203120320000
51132434402112
652315042212
711062220411
oct2343307000
9755240728
10328044032
11159199378
1291a40368
1352c696c4
14317d3808
151dbed372
hex138d8e00

328044032 has 80 divisors (see below), whose sum is σ = 693839520. Its totient is φ = 154632192.

The previous prime is 328044029. The next prime is 328044037. The reversal of 328044032 is 230440823.

It is a super-2 number, since 2×3280440322 = 215225773861634048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 328043992 and 328044010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328044037) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1047908 + ... + 1048220.

It is an arithmetic number, because the mean of its divisors is an integer number (8672994).

Almost surely, 2328044032 is an apocalyptic number.

328044032 is a gapful number since it is divisible by the number (32) 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 328044032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346919760).

328044032 is an abundant number, since it is smaller than the sum of its proper divisors (365795488).

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

328044032 is an equidigital number, since it uses as much as digits as its factorization.

328044032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 328044032 is about 18111.9858657189. The cubic root of 328044032 is about 689.6743068383.

Adding to 328044032 its reverse (230440823), we get a palindrome (558484855).

The spelling of 328044032 in words is "three hundred twenty-eight million, forty-four thousand, thirty-two".

Divisors: 1 2 4 8 16 23 32 46 64 89 92 128 178 184 256 313 356 368 512 626 712 736 1252 1424 1472 2047 2504 2848 2944 4094 5008 5696 5888 7199 8188 10016 11392 11776 14398 16376 20032 22784 27857 28796 32752 40064 45568 55714 57592 65504 80128 111428 115184 131008 160256 222856 230368 262016 445712 460736 524032 640711 891424 921472 1048064 1281422 1782848 1842944 2562844 3565696 3685888 5125688 7131392 10251376 14262784 20502752 41005504 82011008 164022016 328044032