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320133294 = 2321311312107
BaseRepresentation
bin10011000101001…
…101100010101110
3211022101110022200
4103011031202232
51123423231134
651433322330
710635042135
oct2305154256
9738343280
10320133294
11154785978
128b2663a6
1351429ab0
143073491c
151d189499
hex1314d8ae

320133294 has 48 divisors (see below), whose sum is σ = 753650352. Its totient is φ = 97622784.

The previous prime is 320133293. The next prime is 320133301. The reversal of 320133294 is 492331023.

It is a happy number.

320133294 is a `hidden beast` number, since 320 + 1 + 332 + 9 + 4 = 666.

320133294 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 (320133293) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20389 + ... + 32495.

It is an arithmetic number, because the mean of its divisors is an integer number (15701049).

Almost surely, 2320133294 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320133294, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376825176).

320133294 is an abundant number, since it is smaller than the sum of its proper divisors (433517058).

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

320133294 is a wasteful number, since it uses less digits than its factorization.

320133294 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12241 (or 12238 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 320133294 is about 17892.2691126643. The cubic root of 320133294 is about 684.0853361264.

The spelling of 320133294 in words is "three hundred twenty million, one hundred thirty-three thousand, two hundred ninety-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 113 117 226 234 339 678 1017 1469 2034 2938 4407 8814 12107 13221 24214 26442 36321 72642 108963 157391 217926 314782 472173 944346 1368091 1416519 2736182 2833038 4104273 8208546 12312819 17785183 24625638 35570366 53355549 106711098 160066647 320133294