Search a number
-
+
323063272 = 23724120101
BaseRepresentation
bin10011010000011…
…000110111101000
3211111220022111101
4103100120313220
51130201011042
652020211144
711001664300
oct2320306750
9744808441
10323063272
111563a7244
1290239ab4
1351c145cc
1430c98600
151d5676b7
hex13418de8

323063272 has 48 divisors (see below), whose sum is σ = 721862820. Its totient is φ = 135072000.

The previous prime is 323063269. The next prime is 323063287. The reversal of 323063272 is 272360323.

It can be written as a sum of positive squares in 2 ways, for example, as 281769796 + 41293476 = 16786^2 + 6426^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 323063272.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6022 + ... + 26122.

Almost surely, 2323063272 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 323063272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360931410).

323063272 is an abundant number, since it is smaller than the sum of its proper divisors (398799548).

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

323063272 is a wasteful number, since it uses less digits than its factorization.

323063272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20162 (or 20151 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 28.

The square root of 323063272 is about 17973.9609435427. The cubic root of 323063272 is about 686.1660017538.

The spelling of 323063272 in words is "three hundred twenty-three million, sixty-three thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 28 41 49 56 82 98 164 196 287 328 392 574 1148 2009 2296 4018 8036 16072 20101 40202 80404 140707 160808 281414 562828 824141 984949 1125656 1648282 1969898 3296564 3939796 5768987 6593128 7879592 11537974 23075948 40382909 46151896 80765818 161531636 323063272