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1028383300 = 225271639013
BaseRepresentation
bin111101010010111…
…110001001000100
32122200002021200101
4331102332021010
54101231231200
6250013453444
734325054020
oct7522761104
92580067611
101028383300
1148854a65a
122484a1284
13135097339
149a819380
156043b26a
hex3d4be244

1028383300 has 72 divisors (see below), whose sum is σ = 2566321856. Its totient is φ = 350386560.

The previous prime is 1028383289. The next prime is 1028383331. The reversal of 1028383300 is 33838201.

1028383300 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 (28).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109594 + ... + 118606.

Almost surely, 21028383300 is an apocalyptic number.

1028383300 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 1028383300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1283160928).

1028383300 is an abundant number, since it is smaller than the sum of its proper divisors (1537938556).

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

1028383300 is a wasteful number, since it uses less digits than its factorization.

1028383300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9197 (or 9190 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 1028383300 is about 32068.4159259543. The cubic root of 1028383300 is about 1009.3729728990.

The spelling of 1028383300 in words is "one billion, twenty-eight million, three hundred eighty-three thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 163 175 326 350 652 700 815 1141 1630 2282 3260 4075 4564 5705 8150 9013 11410 16300 18026 22820 28525 36052 45065 57050 63091 90130 114100 126182 180260 225325 252364 315455 450650 630910 901300 1261820 1469119 1577275 2938238 3154550 5876476 6309100 7345595 10283833 14691190 20567666 29382380 36727975 41135332 51419165 73455950 102838330 146911900 205676660 257095825 514191650 1028383300