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326494240 = 25597109193
BaseRepresentation
bin10011011101011…
…110100000100000
3211202100121220021
4103131132200200
51132040303430
652221523224
711043104152
oct2335364040
9752317807
10326494240
1115832aa56
1291413514
1352846177
143150cad2
151d9e407a
hex1375e820

326494240 has 96 divisors (see below), whose sum is σ = 790518960. Its totient is φ = 127401984.

The previous prime is 326494237. The next prime is 326494243. The reversal of 326494240 is 42494623.

It is an interprime number because it is at equal distance from previous prime (326494237) and next prime (326494243).

It can be written as a sum of positive squares in 8 ways, for example, as 121088016 + 205406224 = 11004^2 + 14332^2 .

It is a junction number, because it is equal to n+sod(n) for n = 326494196 and 326494205.

It is not an unprimeable number, because it can be changed into a prime (326494243) 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 15 ways as a sum of consecutive naturals, for example, 1691584 + ... + 1691776.

Almost surely, 2326494240 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 326494240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395259480).

326494240 is an abundant number, since it is smaller than the sum of its proper divisors (464024720).

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

326494240 is a wasteful number, since it uses less digits than its factorization.

326494240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

The square root of 326494240 is about 18069.1516126242. The cubic root of 326494240 is about 688.5865063629.

The spelling of 326494240 in words is "three hundred twenty-six million, four hundred ninety-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 97 109 160 193 194 218 386 388 436 485 545 772 776 872 965 970 1090 1544 1552 1744 1930 1940 2180 3088 3104 3488 3860 3880 4360 6176 7720 7760 8720 10573 15440 15520 17440 18721 21037 21146 30880 37442 42074 42292 52865 74884 84148 84584 93605 105185 105730 149768 168296 169168 187210 210370 211460 299536 336592 338336 374420 420740 422920 599072 673184 748840 841480 845840 1497680 1682960 1691680 2040589 2995360 3365920 4081178 8162356 10202945 16324712 20405890 32649424 40811780 65298848 81623560 163247120 326494240