Search a number
-
+
328135104 = 26331161283
BaseRepresentation
bin10011100011101…
…111000111000000
3211212102222202000
4103203233013000
51133000310404
652321024000
711063050053
oct2343570700
9755388660
10328135104
11159250840
1291a85000
1352c9bcab
1431818a9a
151dc1a339
hex138ef1c0

328135104 has 224 divisors, whose sum is σ = 1073383680. Its totient is φ = 97459200.

The previous prime is 328135099. The next prime is 328135109. The reversal of 328135104 is 401531823.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (328135099) and next prime (328135109).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328135109) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1159347 + ... + 1159629.

Almost surely, 2328135104 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 328135104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536691840).

328135104 is an abundant number, since it is smaller than the sum of its proper divisors (745248576).

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

328135104 is a wasteful number, since it uses less digits than its factorization.

328135104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 328135104 is about 18114.4998274863. The cubic root of 328135104 is about 689.7381236848.

Adding to 328135104 its reverse (401531823), we get a palindrome (729666927).

The spelling of 328135104 in words is "three hundred twenty-eight million, one hundred thirty-five thousand, one hundred four".