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323995140 = 22345728571
BaseRepresentation
bin10011010011111…
…100011000000100
3211120122122210000
4103103330120010
51130420321030
652052201300
711012625150
oct2323743004
9746578700
10323995140
11156983387
1290609230
135217c801
143105c060
151d69d860
hex134fc604

323995140 has 120 divisors (see below), whose sum is σ = 1161623232. Its totient is φ = 74053440.

The previous prime is 323995127. The next prime is 323995141. The reversal of 323995140 is 41599323.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 323995095 and 323995104.

It is not an unprimeable number, because it can be changed into a prime (323995141) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 2946 + ... + 25625.

Almost surely, 2323995140 is an apocalyptic number.

323995140 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 323995140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580811616).

323995140 is an abundant number, since it is smaller than the sum of its proper divisors (837628092).

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

323995140 is a wasteful number, since it uses less digits than its factorization.

323995140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28599 (or 28588 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 323995140 is about 17999.8649994937. The cubic root of 323995140 is about 686.8251113721.

The spelling of 323995140 in words is "three hundred twenty-three million, nine hundred ninety-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 252 270 315 324 378 405 420 540 567 630 756 810 945 1134 1260 1620 1890 2268 2835 3780 5670 11340 28571 57142 85713 114284 142855 171426 199997 257139 285710 342852 399994 428565 514278 571420 599991 771417 799988 857130 999985 1028556 1199982 1285695 1542834 1714260 1799973 1999970 2314251 2399964 2571390 2999955 3085668 3599946 3857085 3999940 4628502 5142780 5399919 5999910 7199892 7714170 8999865 9257004 10799838 11571255 11999820 15428340 16199757 17999730 21599676 23142510 26999595 32399514 35999460 46285020 53999190 64799028 80998785 107998380 161997570 323995140