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1028350350 = 23352977853
BaseRepresentation
bin111101010010110…
…110000110001110
32122200000121111000
4331102312012032
54101224202400
6250013041130
734324555656
oct7522660616
92580017430
101028350350
11488527925
122484861a6
13135085341
149a80b366
1560431600
hex3d4b618e

1028350350 has 96 divisors (see below), whose sum is σ = 2863254240. Its totient is φ = 271365120.

The previous prime is 1028350331. The next prime is 1028350381. The reversal of 1028350350 is 530538201.

1028350350 is a `hidden beast` number, since 102 + 8 + 3 + 503 + 50 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 127024 + ... + 134876.

It is an arithmetic number, because the mean of its divisors is an integer number (29825565).

Almost surely, 21028350350 is an apocalyptic number.

1028350350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1028350350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1431627120).

1028350350 is an abundant number, since it is smaller than the sum of its proper divisors (1834903890).

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

1028350350 is a wasteful number, since it uses less digits than its factorization.

1028350350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7971 (or 7960 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 1028350350 is about 32067.9021764755. The cubic root of 1028350350 is about 1009.3621924845.

Adding to 1028350350 its reverse (530538201), we get a palindrome (1558888551).

The spelling of 1028350350 in words is "one billion, twenty-eight million, three hundred fifty thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 97 135 150 194 225 270 291 450 485 582 675 873 970 1350 1455 1746 2425 2619 2910 4365 4850 5238 7275 7853 8730 13095 14550 15706 21825 23559 26190 39265 43650 47118 65475 70677 78530 117795 130950 141354 196325 212031 235590 353385 392650 424062 588975 706770 761741 1060155 1177950 1523482 1766925 2120310 2285223 3533850 3808705 4570446 5300775 6855669 7617410 10601550 11426115 13711338 19043525 20567007 22852230 34278345 38087050 41134014 57130575 68556690 102835035 114261150 171391725 205670070 342783450 514175175 1028350350