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323013680 = 245111919319
BaseRepresentation
bin10011010000001…
…100110000110000
3211111210210110122
4103100030300300
51130142414210
652015145412
711001366563
oct2320146060
9744723418
10323013680
11156372a60
1290215268
1351bc7b72
1430c844da
151d557b55
hex1340cc30

323013680 has 80 divisors (see below), whose sum is σ = 862444800. Its totient is φ = 111271680.

The previous prime is 323013667. The next prime is 323013683. The reversal of 323013680 is 86310323.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (323013683) 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, 7061 + ... + 26379.

It is an arithmetic number, because the mean of its divisors is an integer number (10780560).

Almost surely, 2323013680 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 323013680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431222400).

323013680 is an abundant number, since it is smaller than the sum of its proper divisors (539431120).

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

323013680 is a wasteful number, since it uses less digits than its factorization.

323013680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19362 (or 19356 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 323013680 is about 17972.5813393625. The cubic root of 323013680 is about 686.1308898643.

The spelling of 323013680 in words is "three hundred twenty-three million, thirteen thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 38 40 44 55 76 80 88 95 110 152 176 190 209 220 304 380 418 440 760 836 880 1045 1520 1672 2090 3344 4180 8360 16720 19319 38638 77276 96595 154552 193190 212509 309104 367061 386380 425018 734122 772760 850036 1062545 1468244 1545520 1700072 1835305 2125090 2936488 3400144 3670610 4037671 4250180 5872976 7341220 8075342 8500360 14682440 16150684 17000720 20188355 29364880 32301368 40376710 64602736 80753420 161506840 323013680