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322130240 = 2652414177
BaseRepresentation
bin10011001100110…
…101000101000000
3211110010220121122
4103030311011000
51124431131430
651544211412
710661030135
oct2314650500
9743126548
10322130240
1115591a243
128ba69b68
1351978a13
1430ad458c
151d430ee5
hex13335140

322130240 has 56 divisors (see below), whose sum is σ = 770439912. Its totient is φ = 128286720.

The previous prime is 322130233. The next prime is 322130257. The reversal of 322130240 is 42031223.

It can be written as a sum of positive squares in 4 ways, for example, as 135862336 + 186267904 = 11656^2 + 13648^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75032 + ... + 79208.

Almost surely, 2322130240 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 322130240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385219956).

322130240 is an abundant number, since it is smaller than the sum of its proper divisors (448309672).

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

322130240 is a wasteful number, since it uses less digits than its factorization.

322130240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4435 (or 4425 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 322130240 is about 17947.9870737640. The cubic root of 322130240 is about 685.5047977798.

Adding to 322130240 its reverse (42031223), we get a palindrome (364161463).

The spelling of 322130240 in words is "three hundred twenty-two million, one hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 241 320 482 964 1205 1928 2410 3856 4177 4820 7712 8354 9640 15424 16708 19280 20885 33416 38560 41770 66832 77120 83540 133664 167080 267328 334160 668320 1006657 1336640 2013314 4026628 5033285 8053256 10066570 16106512 20133140 32213024 40266280 64426048 80532560 161065120 322130240