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314020432 = 24113115737
BaseRepresentation
bin10010101101111…
…001001001010000
3210212212220001101
4102231321021100
51120342123212
651054314144
710532062315
oct2255711120
9725786041
10314020432
11151290220
12891b8954
135009960b
142d9c2d0c
151c87d157
hex12b79250

314020432 has 40 divisors (see below), whose sum is σ = 665975232. Its totient is φ = 142252800.

The previous prime is 314020423. The next prime is 314020451. The reversal of 314020432 is 234020413.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 51868 + ... + 57604.

Almost surely, 2314020432 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 314020432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332987616).

314020432 is an abundant number, since it is smaller than the sum of its proper divisors (351954800).

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

314020432 is a wasteful number, since it uses less digits than its factorization.

314020432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6067 (or 6061 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 314020432 is about 17720.6216595243. The cubic root of 314020432 is about 679.7031807228.

Subtracting from 314020432 its sum of digits (19), we obtain a palindrome (314020413).

Adding to 314020432 its reverse (234020413), we get a palindrome (548040845).

The spelling of 314020432 in words is "three hundred fourteen million, twenty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 44 88 176 311 622 1244 2488 3421 4976 5737 6842 11474 13684 22948 27368 45896 54736 63107 91792 126214 252428 504856 1009712 1784207 3568414 7136828 14273656 19626277 28547312 39252554 78505108 157010216 314020432