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320354140 = 22537974463
BaseRepresentation
bin10011000110000…
…011011101011100
3211022210200021011
4103012003131130
51124002313030
651442145004
710636652041
oct2306033534
9738720234
10320354140
11154916897
128b352164
13514a6482
14307911c8
151d1ceb2a
hex1318375c

320354140 has 48 divisors (see below), whose sum is σ = 698205312. Its totient is φ = 123365376.

The previous prime is 320354131. The next prime is 320354141. The reversal of 320354140 is 41453023.

320354140 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 (320354141) 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, 69549 + ... + 74011.

It is an arithmetic number, because the mean of its divisors is an integer number (14545944).

Almost surely, 2320354140 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 320354140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349102656).

320354140 is an abundant number, since it is smaller than the sum of its proper divisors (377851172).

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

320354140 is a wasteful number, since it uses less digits than its factorization.

320354140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4606 (or 4604 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 320354140 is about 17898.4395967917. The cubic root of 320354140 is about 684.2426068484.

The spelling of 320354140 in words is "three hundred twenty million, three hundred fifty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 37 74 97 148 185 194 370 388 485 740 970 1940 3589 4463 7178 8926 14356 17852 17945 22315 35890 44630 71780 89260 165131 330262 432911 660524 825655 865822 1651310 1731644 2164555 3302620 4329110 8658220 16017707 32035414 64070828 80088535 160177070 320354140