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320780460 = 2235731113109
BaseRepresentation
bin10011000111101…
…011100010101100
3211100121100001210
4103013223202230
51124104433320
651455234420
710643406000
oct2307534254
9740540053
10320780460
11155088120
128b518a10
13515c5530
1430862700
151d2660e0
hex131eb8ac

320780460 has 384 divisors, whose sum is σ = 1241856000. Its totient is φ = 60963840.

The previous prime is 320780459. The next prime is 320780479. The reversal of 320780460 is 64087023.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2942886 + ... + 2942994.

It is an arithmetic number, because the mean of its divisors is an integer number (3234000).

Almost surely, 2320780460 is an apocalyptic number.

320780460 is a gapful number since it is divisible by the number (30) 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 320780460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620928000).

320780460 is an abundant number, since it is smaller than the sum of its proper divisors (921075540).

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

320780460 is a wasteful number, since it uses less digits than its factorization.

320780460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 320780460 is about 17910.3450553025. The cubic root of 320780460 is about 684.5459971370.

The spelling of 320780460 in words is "three hundred twenty million, seven hundred eighty thousand, four hundred sixty".