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1328230000 = 2454317419
BaseRepresentation
bin100111100101011…
…0010111001110000
310102120022002000201
41033022302321300
510210011330000
6335444324544
744625524446
oct11712627160
93376262021
101328230000
11621829949
123109a3754
13182240416
14c858cb96
157b91996a
hex4f2b2e70

1328230000 has 100 divisors (see below), whose sum is σ = 3233621160. Its totient is φ = 528352000.

The previous prime is 1328229977. The next prime is 1328230031. The reversal of 1328230000 is 328231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

It is a self number, because there is not a number n which added to its sum of digits gives 1328230000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3169791 + ... + 3170209.

Almost surely, 21328230000 is an apocalyptic number.

1328230000 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 1328230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1616810580).

1328230000 is an abundant number, since it is smaller than the sum of its proper divisors (1905391160).

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

1328230000 is an equidigital number, since it uses as much as digits as its factorization.

1328230000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 1328230000 is about 36444.8899024267. The cubic root of 1328230000 is about 1099.2363846246.

Adding to 1328230000 its reverse (328231), we get a palindrome (1328558231).

The spelling of 1328230000 in words is "one billion, three hundred twenty-eight million, two hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 317 400 419 500 625 634 838 1000 1250 1268 1585 1676 2000 2095 2500 2536 3170 3352 4190 5000 5072 6340 6704 7925 8380 10000 10475 12680 15850 16760 20950 25360 31700 33520 39625 41900 52375 63400 79250 83800 104750 126800 132823 158500 167600 198125 209500 261875 265646 317000 396250 419000 523750 531292 634000 664115 792500 838000 1047500 1062584 1328230 1585000 2095000 2125168 2656460 3170000 3320575 4190000 5312920 6641150 10625840 13282300 16602875 26564600 33205750 53129200 66411500 83014375 132823000 166028750 265646000 332057500 664115000 1328230000