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326145000 = 23354171279
BaseRepresentation
bin10011011100001…
…001001111101000
3211201200212211110
4103130021033220
51131443120000
652210230320
711040121026
oct2334111750
9751625743
10326145000
11158111625
12912853a0
135275320c
143145b716
151d975850
hex137093e8

326145000 has 160 divisors (see below), whose sum is σ = 1079654400. Its totient is φ = 81792000.

The previous prime is 326144999. The next prime is 326145019. The reversal of 326145000 is 541623.

It is a happy number.

It is a super-2 number, since 2×3261450002 = 212741122050000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 254361 + ... + 255639.

It is an arithmetic number, because the mean of its divisors is an integer number (6747840).

Almost surely, 2326145000 is an apocalyptic number.

326145000 is a gapful number since it is divisible by the number (30) 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 326145000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539827200).

326145000 is an abundant number, since it is smaller than the sum of its proper divisors (753509400).

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

326145000 is a wasteful number, since it uses less digits than its factorization.

326145000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1325 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 326145000 is about 18059.4850424922. The cubic root of 326145000 is about 688.3408994290.

Adding to 326145000 its reverse (541623), we get a palindrome (326686623).

The spelling of 326145000 in words is "three hundred twenty-six million, one hundred forty-five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 25 30 34 40 50 51 60 68 75 85 100 102 120 125 136 150 170 200 204 250 255 300 340 375 408 425 500 510 600 625 680 750 850 1000 1020 1250 1275 1279 1500 1700 1875 2040 2125 2500 2550 2558 3000 3400 3750 3837 4250 5000 5100 5116 6375 6395 7500 7674 8500 10200 10232 10625 12750 12790 15000 15348 17000 19185 21250 21743 25500 25580 30696 31875 31975 38370 42500 43486 51000 51160 63750 63950 65229 76740 85000 86972 95925 108715 127500 127900 130458 153480 159875 173944 191850 217430 255000 255800 260916 319750 326145 383700 434860 479625 521832 543575 639500 652290 767400 799375 869720 959250 1087150 1279000 1304580 1598750 1630725 1918500 2174300 2398125 2609160 2717875 3197500 3261450 3837000 4348600 4796250 5435750 6395000 6522900 8153625 9592500 10871500 13045800 13589375 16307250 19185000 21743000 27178750 32614500 40768125 54357500 65229000 81536250 108715000 163072500 326145000