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1030000320 = 26335971229
BaseRepresentation
bin111101011001001…
…000111011000000
32122210010102211000
4331121020323000
54102140002240
6250112252000
734344600246
oct7531107300
92583112730
101030000320
11489454538
12248b41000
1313551235b
149ab1a796
156065a430
hex3d648ec0

1030000320 has 224 divisors, whose sum is σ = 3674059200. Its totient is φ = 271613952.

The previous prime is 1030000273. The next prime is 1030000343. The reversal of 1030000320 is 230000301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 837466 + ... + 838694.

It is an arithmetic number, because the mean of its divisors is an integer number (16402050).

Almost surely, 21030000320 is an apocalyptic number.

1030000320 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 1030000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1837029600).

1030000320 is an abundant number, since it is smaller than the sum of its proper divisors (2644058880).

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

1030000320 is a wasteful number, since it uses less digits than its factorization.

1030000320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1352 (or 1336 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 1030000320 is about 32093.6180571777. The cubic root of 1030000320 is about 1009.9017386352.

Adding to 1030000320 its reverse (230000301), we get a palindrome (1260000621).

The spelling of 1030000320 in words is "one billion, thirty million, three hundred twenty", and thus it is an aban number.