Search a number
-
+
328466500 = 22533531861
BaseRepresentation
bin10011100101000…
…000000001000100
3211220001211022221
4103211000001010
51133041412000
652332102124
711065630165
oct2345000104
9756054287
10328466500
1115945781a
1292004944
1353086a9b
14318a376c
151dc8361a
hex13940044

328466500 has 48 divisors (see below), whose sum is σ = 719789616. Its totient is φ = 130944000.

The previous prime is 328466491. The next prime is 328466513. The reversal of 328466500 is 5664823.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 241118784 + 87347716 = 15528^2 + 9346^2 .

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175570 + ... + 177430.

It is an arithmetic number, because the mean of its divisors is an integer number (14995617).

Almost surely, 2328466500 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 328466500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359894808).

328466500 is an abundant number, since it is smaller than the sum of its proper divisors (391323116).

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

328466500 is a wasteful number, since it uses less digits than its factorization.

328466500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2233 (or 2221 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The square root of 328466500 is about 18123.6447769206. The cubic root of 328466500 is about 689.9702430631.

The spelling of 328466500 in words is "three hundred twenty-eight million, four hundred sixty-six thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 353 500 706 1412 1765 1861 3530 3722 7060 7444 8825 9305 17650 18610 35300 37220 44125 46525 88250 93050 176500 186100 232625 465250 656933 930500 1313866 2627732 3284665 6569330 13138660 16423325 32846650 65693300 82116625 164233250 328466500