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327997280 = 25513712221
BaseRepresentation
bin10011100011001…
…101011101100000
3211212011222200102
4103203031131200
51132431403110
652314041532
711061634202
oct2343153540
9755158612
10327997280
11159167236
1291a192a8
1352c51340
14317c0772
151dbde5a5
hex138cd760

327997280 has 96 divisors (see below), whose sum is σ = 846635328. Its totient is φ = 119347200.

The previous prime is 327997261. The next prime is 327997289. The reversal of 327997280 is 82799723.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (327997289) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 146570 + ... + 148790.

It is an arithmetic number, because the mean of its divisors is an integer number (8819118).

Almost surely, 2327997280 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 327997280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423317664).

327997280 is an abundant number, since it is smaller than the sum of its proper divisors (518638048).

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

327997280 is a wasteful number, since it uses less digits than its factorization.

327997280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2320 (or 2312 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 47.

The square root of 327997280 is about 18110.6951826814. The cubic root of 327997280 is about 689.6415417398.

The spelling of 327997280 in words is "three hundred twenty-seven million, nine hundred ninety-seven thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 71 80 104 130 142 160 208 260 284 355 416 520 568 710 923 1040 1136 1420 1846 2080 2221 2272 2840 3692 4442 4615 5680 7384 8884 9230 11105 11360 14768 17768 18460 22210 28873 29536 35536 36920 44420 57746 71072 73840 88840 115492 144365 147680 157691 177680 230984 288730 315382 355360 461968 577460 630764 788455 923936 1154920 1261528 1576910 2049983 2309840 2523056 3153820 4099966 4619680 5046112 6307640 8199932 10249915 12615280 16399864 20499830 25230560 32799728 40999660 65599456 81999320 163998640 327997280