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325066080 = 2535739277
BaseRepresentation
bin10011011000000…
…001110101100000
3211122200001211110
4103120001311200
51131204103310
652131143320
711025005343
oct2330016540
9748601743
10325066080
11157544a59
1290a44b40
13524660c1
143125a45a
151d810d20
hex13601d60

325066080 has 96 divisors (see below), whose sum is σ = 1038096864. Its totient is φ = 85487616.

The previous prime is 325066073. The next prime is 325066121. The reversal of 325066080 is 80660523.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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, 30402 + ... + 39678.

It is an arithmetic number, because the mean of its divisors is an integer number (10813509).

Almost surely, 2325066080 is an apocalyptic number.

325066080 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 325066080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519048432).

325066080 is an abundant number, since it is smaller than the sum of its proper divisors (713030784).

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

325066080 is a wasteful number, since it uses less digits than its factorization.

325066080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9368 (or 9360 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 325066080 is about 18029.5890136187. The cubic root of 325066080 is about 687.5810275848.

The spelling of 325066080 in words is "three hundred twenty-five million, sixty-six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 73 80 96 120 146 160 219 240 292 365 438 480 584 730 876 1095 1168 1460 1752 2190 2336 2920 3504 4380 5840 7008 8760 9277 11680 17520 18554 27831 35040 37108 46385 55662 74216 92770 111324 139155 148432 185540 222648 278310 296864 371080 445296 556620 677221 742160 890592 1113240 1354442 1484320 2031663 2226480 2708884 3386105 4063326 4452960 5417768 6772210 8126652 10158315 10835536 13544420 16253304 20316630 21671072 27088840 32506608 40633260 54177680 65013216 81266520 108355360 162533040 325066080