Search a number
-
+
320948433 = 33135691607
BaseRepresentation
bin10011001000010…
…100100011010001
3211100220212111000
4103020110203101
51124130322213
651503012213
710645005501
oct2310244321
9740825430
10320948433
11155192343
128b59a069
1351653b20
14308a7a01
151d29ac73
hex132148d1

320948433 has 32 divisors (see below), whose sum is σ = 513273600. Its totient is φ = 197036928.

The previous prime is 320948387. The next prime is 320948447. The reversal of 320948433 is 334849023.

It is a happy number.

It is not a de Polignac number, because 320948433 - 210 = 320947409 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (320948483) 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 31 ways as a sum of consecutive naturals, for example, 198916 + ... + 200522.

It is an arithmetic number, because the mean of its divisors is an integer number (16039800).

Almost surely, 2320948433 is an apocalyptic number.

It is an amenable number.

320948433 is a deficient number, since it is larger than the sum of its proper divisors (192325167).

320948433 is a wasteful number, since it uses less digits than its factorization.

320948433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2198 (or 2192 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 320948433 is about 17915.0337147324. The cubic root of 320948433 is about 684.6654611679.

It can be divided in two parts, 320 and 948433, that added together give a triangular number (948753 = T1377).

The spelling of 320948433 in words is "three hundred twenty million, nine hundred forty-eight thousand, four hundred thirty-three".

Divisors: 1 3 9 13 27 39 117 351 569 1607 1707 4821 5121 7397 14463 15363 20891 22191 43389 62673 66573 188019 199719 564057 914383 2743149 8229447 11886979 24688341 35660937 106982811 320948433