[go: up one dir, main page]

Search a number
-
+
320922420 = 2235713531109
BaseRepresentation
bin10011001000001…
…110001100110100
3211100212112210120
4103020032030310
51124124004140
651502251540
710644536610
oct2310161464
9740775716
10320922420
11155174845
128b586bb0
1351645030
143089c340
151d2931d0
hex1320e334

320922420 has 192 divisors, whose sum is σ = 1127831040. Its totient is φ = 66373632.

The previous prime is 320922401. The next prime is 320922421. The reversal of 320922420 is 24229023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320922421) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 288826 + ... + 289934.

It is an arithmetic number, because the mean of its divisors is an integer number (5874120).

Almost surely, 2320922420 is an apocalyptic number.

320922420 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 320922420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563915520).

320922420 is an abundant number, since it is smaller than the sum of its proper divisors (806908620).

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

320922420 is a wasteful number, since it uses less digits than its factorization.

320922420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1194 (or 1192 counting only the distinct ones).

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

The square root of 320922420 is about 17914.3076896653. The cubic root of 320922420 is about 684.6469631975.

The spelling of 320922420 in words is "three hundred twenty million, nine hundred twenty-two thousand, four hundred twenty".