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322340420 = 22546134961
BaseRepresentation
bin10011001101101…
…000011001000100
3211110112120221002
4103031220121010
51130004343140
651552512432
710662563663
oct2315503104
9743476832
10322340420
11155a53146
128bb4b718
1351a2059c
1430b4adda
151d473415
hex13368644

322340420 has 24 divisors (see below), whose sum is σ = 678402648. Its totient is φ = 128652800.

The previous prime is 322340407. The next prime is 322340437. The reversal of 322340420 is 24043223.

It can be written as a sum of positive squares in 4 ways, for example, as 10394176 + 311946244 = 3224^2 + 17662^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 322340392 and 322340401.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8261 + ... + 26700.

It is an arithmetic number, because the mean of its divisors is an integer number (28266777).

Almost surely, 2322340420 is an apocalyptic number.

It is an amenable number.

322340420 is an abundant number, since it is smaller than the sum of its proper divisors (356062228).

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

322340420 is a wasteful number, since it uses less digits than its factorization.

322340420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35431 (or 35429 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 322340420 is about 17953.8413716954. The cubic root of 322340420 is about 685.6538555790.

Adding to 322340420 its reverse (24043223), we get a palindrome (346383643).

The spelling of 322340420 in words is "three hundred twenty-two million, three hundred forty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 461 922 1844 2305 4610 9220 34961 69922 139844 174805 349610 699220 16117021 32234042 64468084 80585105 161170210 322340420