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1000423320 = 23351331137151
BaseRepresentation
bin111011101000010…
…011111110011000
32120201110202210120
4323220103332120
54022102021240
6243134313240
733535313031
oct7350237630
92521422716
101000423320
11473792936
1223b058820
1312c357a80
1496c1ba88
155cc66ad0
hex3ba13f98

1000423320 has 256 divisors, whose sum is σ = 3383009280. Its totient is φ = 235008000.

The previous prime is 1000423313. The next prime is 1000423349. The reversal of 1000423320 is 233240001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1000423320.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6625245 + ... + 6625395.

It is an arithmetic number, because the mean of its divisors is an integer number (13214880).

Almost surely, 21000423320 is an apocalyptic number.

1000423320 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 1000423320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1691504640).

1000423320 is an abundant number, since it is smaller than the sum of its proper divisors (2382585960).

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

1000423320 is a wasteful number, since it uses less digits than its factorization.

1000423320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 1000423320 is about 31629.4691703797. The cubic root of 1000423320 is about 1000.1410867603.

Adding to 1000423320 its reverse (233240001), we get a palindrome (1233663321).

The spelling of 1000423320 in words is "one billion, four hundred twenty-three thousand, three hundred twenty".