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323143080 = 233513359577
BaseRepresentation
bin10011010000101…
…100010110101000
3211112001100222020
4103100230112220
51130211034310
652022024440
711002446051
oct2320542650
9745040866
10323143080
111564511a7
1290278120
1351c41a30
1430cb9728
151d581170
hex1342c5a8

323143080 has 128 divisors (see below), whose sum is σ = 1048723200. Its totient is φ = 79183872.

The previous prime is 323143063. The next prime is 323143109. The reversal of 323143080 is 80341323.

323143080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 323143080.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 559752 + ... + 560328.

It is an arithmetic number, because the mean of its divisors is an integer number (8193150).

Almost surely, 2323143080 is an apocalyptic number.

323143080 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 323143080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524361600).

323143080 is an abundant number, since it is smaller than the sum of its proper divisors (725580120).

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

323143080 is a wasteful number, since it uses less digits than its factorization.

323143080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 963 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 323143080 is about 17976.1809069669. The cubic root of 323143080 is about 686.2224994869. Note that the first 3 decimals are identical.

The spelling of 323143080 in words is "three hundred twenty-three million, one hundred forty-three thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 359 390 520 577 718 780 1077 1154 1436 1560 1731 1795 2154 2308 2872 2885 3462 3590 4308 4616 4667 5385 5770 6924 7180 7501 8616 8655 9334 10770 11540 13848 14001 14360 15002 17310 18668 21540 22503 23080 23335 28002 30004 34620 37336 37505 43080 45006 46670 56004 60008 69240 70005 75010 90012 93340 112008 112515 140010 150020 180024 186680 207143 225030 280020 300040 414286 450060 560040 621429 828572 900120 1035715 1242858 1657144 2071430 2485716 2692859 3107145 4142860 4971432 5385718 6214290 8078577 8285720 10771436 12428580 13464295 16157154 21542872 24857160 26928590 32314308 40392885 53857180 64628616 80785770 107714360 161571540 323143080