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320142330 = 232525713841
BaseRepresentation
bin10011000101001…
…111101111111010
3211022101220201100
4103011033233322
51123424023310
651433432230
710635110364
oct2305175772
9738356640
10320142330
11154791742
128b26b676
1351430c41
1430737d34
151d18bec0
hex1314fbfa

320142330 has 48 divisors (see below), whose sum is σ = 835669224. Its totient is φ = 85032960.

The previous prime is 320142299. The next prime is 320142379. The reversal of 320142330 is 33241023.

320142330 is a `hidden beast` number, since 320 + 14 + 2 + 330 = 666.

320142330 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 303909489 + 16232841 = 17433^2 + 4029^2 .

It is a super-4 number, since 4×3201423304 (a number of 35 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16210 + ... + 30050.

Almost surely, 2320142330 is an apocalyptic number.

320142330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

320142330 is an abundant number, since it is smaller than the sum of its proper divisors (515526894).

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

320142330 is a wasteful number, since it uses less digits than its factorization.

320142330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14111 (or 14108 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 320142330 is about 17892.5216221750. The cubic root of 320142330 is about 684.0917723380.

Adding to 320142330 its reverse (33241023), we get a palindrome (353383353).

The spelling of 320142330 in words is "three hundred twenty million, one hundred forty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 257 514 771 1285 1542 2313 2570 3855 4626 7710 11565 13841 23130 27682 41523 69205 83046 124569 138410 207615 249138 415230 622845 1245690 3557137 7114274 10671411 17785685 21342822 32014233 35571370 53357055 64028466 106714110 160071165 320142330