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320444004 = 223235092281
BaseRepresentation
bin10011000110011…
…001011001100100
3211022222020112110
4103012121121210
51124013202004
651444121020
710640505036
oct2306313144
9738866473
10320444004
11154978361
128b396170
135150834a
14307b5c56
151d1eb589
hex13199664

320444004 has 48 divisors (see below), whose sum is σ = 782087040. Its totient is φ = 101925120.

The previous prime is 320443973. The next prime is 320444009. The reversal of 320444004 is 400444023.

It is not an unprimeable number, because it can be changed into a prime (320444009) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 139344 + ... + 141624.

It is an arithmetic number, because the mean of its divisors is an integer number (16293480).

Almost surely, 2320444004 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 320444004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391043520).

320444004 is an abundant number, since it is smaller than the sum of its proper divisors (461643036).

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

320444004 is a wasteful number, since it uses less digits than its factorization.

320444004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2820 (or 2818 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 320444004 is about 17900.9498072030. The cubic root of 320444004 is about 684.3065808710.

Adding to 320444004 its reverse (400444023), we get a palindrome (720888027).

The spelling of 320444004 in words is "three hundred twenty million, four hundred forty-four thousand, four".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 509 1018 1527 2036 2281 3054 4562 6108 6843 9124 11707 13686 23414 27372 35121 46828 52463 70242 104926 140484 157389 209852 314778 629556 1161029 2322058 3483087 4644116 6966174 13932348 26703667 53407334 80111001 106814668 160222002 320444004