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1009103328 = 25323503831
BaseRepresentation
bin111100001001011…
…011000111100000
32121022210202112100
4330021123013200
54031312301303
6244044330400
734002144132
oct7411330740
92538722470
101009103328
114786812a2
12241b43a00
131310a687c
149803b052
155d8cd8a3
hex3c25b1e0

1009103328 has 36 divisors (see below), whose sum is σ = 2869638408. Its totient is φ = 336367680.

The previous prime is 1009103327. The next prime is 1009103341. The reversal of 1009103328 is 8233019001.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1009103327) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1751628 + ... + 1752203.

It is an arithmetic number, because the mean of its divisors is an integer number (79712178).

Almost surely, 21009103328 is an apocalyptic number.

1009103328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1009103328 is an abundant number, since it is smaller than the sum of its proper divisors (1860535080).

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

1009103328 is a wasteful number, since it uses less digits than its factorization.

1009103328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3503847 (or 3503836 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1009103328 is about 31766.3867633699. The cubic root of 1009103328 is about 1003.0252811114.

The spelling of 1009103328 in words is "one billion, nine million, one hundred three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 3503831 7007662 10511493 14015324 21022986 28030648 31534479 42045972 56061296 63068958 84091944 112122592 126137916 168183888 252275832 336367776 504551664 1009103328