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320139456 = 26371373251
BaseRepresentation
bin10011000101001…
…111000011000000
3211022101202202220
4103011033003000
51123423430311
651433411040
710635066120
oct2305170300
9738352686
10320139456
1115478a56a
128b269a80
135142c840
1430736c80
151d18b206
hex1314f0c0

320139456 has 224 divisors, whose sum is σ = 1060996608. Its totient is φ = 82944000.

The previous prime is 320139409. The next prime is 320139499. The reversal of 320139456 is 654931023.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

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, 1275331 + ... + 1275581.

It is an arithmetic number, because the mean of its divisors is an integer number (4736592).

Almost surely, 2320139456 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 320139456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530498304).

320139456 is an abundant number, since it is smaller than the sum of its proper divisors (740857152).

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

320139456 is a wasteful number, since it uses less digits than its factorization.

320139456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 320139456 is about 17892.4413091115. The cubic root of 320139456 is about 684.0897252427.

The spelling of 320139456 in words is "three hundred twenty million, one hundred thirty-nine thousand, four hundred fifty-six".