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1000000320 = 263511281337
BaseRepresentation
bin111011100110101…
…100101101000000
32120200200021112220
4323212230231000
54022000002240
6243121251040
733531601554
oct7346545500
92520607486
101000000320
11473524050
1223aa93a80
1312c23a387
1496b4b864
155cbd15d0
hex3b9acb40

1000000320 has 224 divisors, whose sum is σ = 3486278016. Its totient is φ = 240844800.

The previous prime is 1000000297. The next prime is 1000000321. The reversal of 1000000320 is 230000001.

1000000320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 1000000299 and 1000000308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000000321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2967192 + ... + 2967528.

Almost surely, 21000000320 is an apocalyptic number.

1000000320 is a gapful number since it is divisible by the number (10) 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 1000000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1743139008).

1000000320 is an abundant number, since it is smaller than the sum of its proper divisors (2486277696).

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

1000000320 is a wasteful number, since it uses less digits than its factorization.

1000000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 6.

The square root of 1000000320 is about 31622.7816613276. The cubic root of 1000000320 is about 1000.0001066667. Note that the first 3 decimals are identical.

Adding to 1000000320 its reverse (230000001), we get a palindrome (1230000321).

The spelling of 1000000320 in words is "one billion, three hundred twenty", and thus it is an aban number.