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325763360 = 25513198243
BaseRepresentation
bin10011011010101…
…100000100100000
3211200222111022122
4103122230010200
51131343411420
652154123412
711033641256
oct2332540440
9750874278
10325763360
1115798091a
1291120568
135264b5b0
143139c5d6
151d8ec725
hex136ac120

325763360 has 96 divisors (see below), whose sum is σ = 872544960. Its totient is φ = 113937408.

The previous prime is 325763309. The next prime is 325763369. The reversal of 325763360 is 63367523.

It is a super-2 number, since 2×3257633602 = 212243533436979200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 325763360.

It is not an unprimeable number, because it can be changed into a prime (325763369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35399 + ... + 43641.

It is an arithmetic number, because the mean of its divisors is an integer number (9089010).

Almost surely, 2325763360 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 325763360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436272480).

325763360 is an abundant number, since it is smaller than the sum of its proper divisors (546781600).

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

325763360 is a wasteful number, since it uses less digits than its factorization.

325763360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8290 (or 8282 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 35.

The square root of 325763360 is about 18048.9157569091. The cubic root of 325763360 is about 688.0723062640.

The spelling of 325763360 in words is "three hundred twenty-five million, seven hundred sixty-three thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 19 20 26 32 38 40 52 65 76 80 95 104 130 152 160 190 208 247 260 304 380 416 494 520 608 760 988 1040 1235 1520 1976 2080 2470 3040 3952 4940 7904 8243 9880 16486 19760 32972 39520 41215 65944 82430 107159 131888 156617 164860 214318 263776 313234 329720 428636 535795 626468 659440 783085 857272 1071590 1252936 1318880 1566170 1714544 2036021 2143180 2505872 3132340 3429088 4072042 4286360 5011744 6264680 8144084 8572720 10180105 12529360 16288168 17145440 20360210 25058720 32576336 40720420 65152672 81440840 162881680 325763360