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1330323000 = 233531923339
BaseRepresentation
bin100111101001011…
…0001111000111000
310102201020102002020
41033102301320320
510211030314000
6340001234440
744652362466
oct11722617070
93381212066
101330323000
11622a293a6
12311632a20
131827c3c96
14c8975836
157bbceba0
hex4f4b1e38

1330323000 has 128 divisors (see below), whose sum is σ = 4369248000. Its totient is φ = 336067200.

The previous prime is 1330322999. The next prime is 1330323017. The reversal of 1330323000 is 3230331.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 45331 + ... + 68669.

It is an arithmetic number, because the mean of its divisors is an integer number (34134750).

Almost surely, 21330323000 is an apocalyptic number.

1330323000 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 1330323000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2184624000).

1330323000 is an abundant number, since it is smaller than the sum of its proper divisors (3038925000).

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

1330323000 is a wasteful number, since it uses less digits than its factorization.

1330323000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23382 (or 23368 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 15.

The square root of 1330323000 is about 36473.5931874007. The cubic root of 1330323000 is about 1099.8134669930.

Adding to 1330323000 its reverse (3230331), we get a palindrome (1333553331).

The spelling of 1330323000 in words is "one billion, three hundred thirty million, three hundred twenty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 25 30 38 40 50 57 60 75 76 95 100 114 120 125 150 152 190 200 228 250 285 300 375 380 456 475 500 570 600 750 760 950 1000 1140 1425 1500 1900 2280 2375 2850 3000 3800 4750 5700 7125 9500 11400 14250 19000 23339 28500 46678 57000 70017 93356 116695 140034 186712 233390 280068 350085 443441 466780 560136 583475 700170 886882 933560 1166950 1330323 1400340 1750425 1773764 2217205 2333900 2660646 2800680 2917375 3500850 3547528 4434410 4667800 5321292 5834750 6651615 7001700 8752125 8868820 10642584 11086025 11669500 13303230 14003400 17504250 17737640 22172050 23339000 26606460 33258075 35008500 44344100 53212920 55430125 66516150 70017000 88688200 110860250 133032300 166290375 221720500 266064600 332580750 443441000 665161500 1330323000