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320046064 = 24137919477
BaseRepresentation
bin10011000100111…
…000001111110000
3211022020000122221
4103010320033300
51123412433224
651431410424
710634226622
oct2304701760
9738200587
10320046064
11154726388
128b223a14
13513c9190
1430710c12
151d16d6e4
hex131383f0

320046064 has 40 divisors (see below), whose sum is σ = 676276160. Its totient is φ = 145836288.

The previous prime is 320046043. The next prime is 320046079. The reversal of 320046064 is 460640023.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 6694 + ... + 26170.

It is an arithmetic number, because the mean of its divisors is an integer number (16906904).

Almost surely, 2320046064 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 320046064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338138080).

320046064 is an abundant number, since it is smaller than the sum of its proper divisors (356230096).

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

320046064 is a wasteful number, since it uses less digits than its factorization.

320046064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19577 (or 19571 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

The square root of 320046064 is about 17889.8313016082. The cubic root of 320046064 is about 684.0231972343.

Adding to 320046064 its reverse (460640023), we get a palindrome (780686087).

The spelling of 320046064 in words is "three hundred twenty million, forty-six thousand, sixty-four".

Divisors: 1 2 4 8 13 16 26 52 79 104 158 208 316 632 1027 1264 2054 4108 8216 16432 19477 38954 77908 155816 253201 311632 506402 1012804 1538683 2025608 3077366 4051216 6154732 12309464 20002879 24618928 40005758 80011516 160023032 320046064