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1001044320 = 253517671831
BaseRepresentation
bin111011101010101…
…011100101100000
32120202122022122120
4323222223211200
54022231404240
6243155504240
733543510363
oct7352534540
92522568576
101001044320
11474077461
1223b2b8080
1312c514623
1496d400da
155cd3aad0
hex3baab960

1001044320 has 192 divisors, whose sum is σ = 3390460416. Its totient is φ = 247357440.

The previous prime is 1001044307. The next prime is 1001044339. The reversal of 1001044320 is 234401001.

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 1001044320.

It is a congruent number.

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, 545805 + ... + 547635.

It is an arithmetic number, because the mean of its divisors is an integer number (17658648).

Almost surely, 21001044320 is an apocalyptic number.

1001044320 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 1001044320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1695230208).

1001044320 is an abundant number, since it is smaller than the sum of its proper divisors (2389416096).

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

1001044320 is a wasteful number, since it uses less digits than its factorization.

1001044320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1933 (or 1925 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1001044320 is about 31639.2844419718. The cubic root of 1001044320 is about 1000.3479855587.

Adding to 1001044320 its reverse (234401001), we get a palindrome (1235445321).

The spelling of 1001044320 in words is "one billion, one million, forty-four thousand, three hundred twenty".