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320949216 = 253473192
BaseRepresentation
bin10011001000010…
…100101111100000
3211100220220120000
4103020110233200
51124130333331
651503020000
710645011000
oct2310245740
9740826500
10320949216
11155192995
128b59a600
13516542a3
14308a8000
151d29b0e6
hex13214be0

320949216 has 360 divisors, whose sum is σ = 1161745200. Its totient is φ = 86873472.

The previous prime is 320949191. The next prime is 320949217. The reversal of 320949216 is 612949023.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320949217) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 16892055 + ... + 16892073.

It is an arithmetic number, because the mean of its divisors is an integer number (3227070).

Almost surely, 2320949216 is an apocalyptic number.

320949216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320949216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580872600).

320949216 is an abundant number, since it is smaller than the sum of its proper divisors (840795984).

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

320949216 is an equidigital number, since it uses as much as digits as its factorization.

320949216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 320949216 is about 17915.0555678736. The cubic root of 320949216 is about 684.6660179475. Note that the first 3 decimals are identical.

It can be divided in two parts, 3209 and 49216, that added together give a palindrome (52425).

The spelling of 320949216 in words is "three hundred twenty million, nine hundred forty-nine thousand, two hundred sixteen".