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329140280 = 23573673203
BaseRepresentation
bin10011100111100…
…100100000111000
3211221100001120202
4103213210200320
51133224442110
652354341332
711104434440
oct2347444070
9757301522
10329140280
11159877a67
129228a848
1353261681
14319db120
151dd680a5
hex139e4838

329140280 has 64 divisors (see below), whose sum is σ = 848931840. Its totient is φ = 112505472.

The previous prime is 329140243. The next prime is 329140289. The reversal of 329140280 is 82041923.

329140280 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (329140289) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 101159 + ... + 104361.

It is an arithmetic number, because the mean of its divisors is an integer number (13264560).

Almost surely, 2329140280 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 329140280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424465920).

329140280 is an abundant number, since it is smaller than the sum of its proper divisors (519791560).

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

329140280 is a wasteful number, since it uses less digits than its factorization.

329140280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3588 (or 3584 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 329140280 is about 18142.2236784800. The cubic root of 329140280 is about 690.4416971675.

The spelling of 329140280 in words is "three hundred twenty-nine million, one hundred forty thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 367 734 1468 1835 2569 2936 3203 3670 5138 6406 7340 10276 12812 12845 14680 16015 20552 22421 25624 25690 32030 44842 51380 64060 89684 102760 112105 128120 179368 224210 448420 896840 1175501 2351002 4702004 5877505 8228507 9404008 11755010 16457014 23510020 32914028 41142535 47020040 65828056 82285070 164570140 329140280