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327080440 = 23519222651
BaseRepresentation
bin10011011111101…
…101100111111000
3211210110102000101
4103133231213320
51132213033230
652242245144
711051065201
oct2337554770
9753412011
10327080440
111586a0415
12916567b4
13529bcc2b
14316225a8
151daacaca
hex137ed9f8

327080440 has 48 divisors (see below), whose sum is σ = 776737080. Its totient is φ = 123940800.

The previous prime is 327080431. The next prime is 327080443. The reversal of 327080440 is 44080723.

It is a super-2 number, since 2×3270804402 = 213963228461187200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 327080399 and 327080408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (327080443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3115 + ... + 25765.

Almost surely, 2327080440 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 327080440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388368540).

327080440 is an abundant number, since it is smaller than the sum of its proper divisors (449656640).

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

327080440 is a wasteful number, since it uses less digits than its factorization.

327080440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22700 (or 22677 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 327080440 is about 18085.3653543411. The cubic root of 327080440 is about 688.9983646496.

The spelling of 327080440 in words is "three hundred twenty-seven million, eighty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 361 380 722 760 1444 1805 2888 3610 7220 14440 22651 45302 90604 113255 181208 226510 430369 453020 860738 906040 1721476 2151845 3442952 4303690 8177011 8607380 16354022 17214760 32708044 40885055 65416088 81770110 163540220 327080440