Search a number
-
+
328323648 = 2631990001
BaseRepresentation
bin10011100100011…
…101001001000000
3211212210120101010
4103210131021000
51133022324043
652325040520
711064463542
oct2344351100
9755716333
10328323648
1115936a464
1291b56140
1353036a63
1431867692
151dc56133
hex1391d240

328323648 has 56 divisors (see below), whose sum is σ = 914420320. Its totient is φ = 103680000.

The previous prime is 328323641. The next prime is 328323661. The reversal of 328323648 is 846323823.

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

It is not an unprimeable number, because it can be changed into a prime (328323641) 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, 41353 + ... + 48648.

Almost surely, 2328323648 is an apocalyptic number.

328323648 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

328323648 is an abundant number, since it is smaller than the sum of its proper divisors (586096672).

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

328323648 is a wasteful number, since it uses less digits than its factorization.

328323648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90035 (or 90025 counting only the distinct ones).

The product of its digits is 165888, while the sum is 39.

The square root of 328323648 is about 18119.7033088293. The cubic root of 328323648 is about 689.8702045293.

It can be divided in two parts, 32832 and 3648, that multiplied together give a square (119771136 = 109442).

The spelling of 328323648 in words is "three hundred twenty-eight million, three hundred twenty-three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 192 228 304 456 608 912 1216 1824 3648 90001 180002 270003 360004 540006 720008 1080012 1440016 1710019 2160024 2880032 3420038 4320048 5130057 5760064 6840076 8640096 10260114 13680152 17280192 20520228 27360304 41040456 54720608 82080912 109441216 164161824 328323648