Search a number
-
+
323420064 = 253112959179
BaseRepresentation
bin10011010001101…
…111111110100000
3211112120102220220
4103101233332200
51130243420224
652032003040
711005011432
oct2321577640
9745512826
10323420064
11156620310
1290390480
135200ab26
1430d4c652
151d5d8279
hex1346ffa0

323420064 has 192 divisors, whose sum is σ = 979776000. Its totient is φ = 92503040.

The previous prime is 323420059. The next prime is 323420081. The reversal of 323420064 is 460024323.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1806727 + ... + 1806905.

It is an arithmetic number, because the mean of its divisors is an integer number (5103000).

Almost surely, 2323420064 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 323420064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489888000).

323420064 is an abundant number, since it is smaller than the sum of its proper divisors (656355936).

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

323420064 is a wasteful number, since it uses less digits than its factorization.

323420064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 323420064 is about 17983.8834515796. The cubic root of 323420064 is about 686.4185100501.

323420064 divided by its sum of digits (24) gives a triangular number (13475836 = T5191).

Adding to 323420064 its reverse (460024323), we get a palindrome (783444387).

The spelling of 323420064 in words is "three hundred twenty-three million, four hundred twenty thousand, sixty-four".