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325763640 = 233351072819
BaseRepresentation
bin10011011010101…
…100001000111000
3211200222111201000
4103122230020320
51131343414030
652154125000
711033642136
oct2332541070
9750874630
10325763640
11157981054
1291120760
135264b767
143139c756
151d8ec860
hex136ac238

325763640 has 128 divisors (see below), whose sum is σ = 1096416000. Its totient is φ = 86027904.

The previous prime is 325763621. The next prime is 325763663. The reversal of 325763640 is 46367523.

325763640 is a `hidden beast` number, since 3 + 2 + 5 + 7 + 6 + 3 + 640 = 666.

325763640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3257636402 = 212243898292099200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 325763595 and 325763604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114151 + ... + 116969.

It is an arithmetic number, because the mean of its divisors is an integer number (8565750).

Almost surely, 2325763640 is an apocalyptic number.

325763640 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 325763640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548208000).

325763640 is an abundant number, since it is smaller than the sum of its proper divisors (770652360).

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

325763640 is a wasteful number, since it uses less digits than its factorization.

325763640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2946 (or 2936 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 325763640 is about 18048.9235136060. The cubic root of 325763640 is about 688.0725034011.

The spelling of 325763640 in words is "three hundred twenty-five million, seven hundred sixty-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 107 108 120 135 180 214 216 270 321 360 428 535 540 642 856 963 1070 1080 1284 1605 1926 2140 2568 2819 2889 3210 3852 4280 4815 5638 5778 6420 7704 8457 9630 11276 11556 12840 14095 14445 16914 19260 22552 23112 25371 28190 28890 33828 38520 42285 50742 56380 57780 67656 76113 84570 101484 112760 115560 126855 152226 169140 202968 253710 301633 304452 338280 380565 507420 603266 608904 761130 904899 1014840 1206532 1508165 1522260 1809798 2413064 2714697 3016330 3044520 3619596 4524495 5429394 6032660 7239192 8144091 9048990 10858788 12065320 13573485 16288182 18097980 21717576 27146970 32576364 36195960 40720455 54293940 65152728 81440910 108587880 162881820 325763640