Search a number
-
+
326286434040 = 233573112798663
BaseRepresentation
bin1001011111110000010…
…11111101111011111000
31011012012110111020022020
410233320023331323320
520321213311342130
6405521030354440
732400452633310
oct4577013757370
91135173436266
10326286434040
11116417205256
12532a07bba20
13249cba303a8
1411b142b8440
15874a291e10
hex4bf82fdef8

326286434040 has 256 divisors, whose sum is σ = 1163887902720. Its totient is φ = 71604933120.

The previous prime is 326286434039. The next prime is 326286434041. The reversal of 326286434040 is 40434682623.

It is an interprime number because it is at equal distance from previous prime (326286434039) and next prime (326286434041).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 326286433983 and 326286434001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (326286434041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3257749 + ... + 3356411.

It is an arithmetic number, because the mean of its divisors is an integer number (4546437120).

Almost surely, 2326286434040 is an apocalyptic number.

326286434040 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 326286434040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581943951360).

326286434040 is an abundant number, since it is smaller than the sum of its proper divisors (837601468680).

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

326286434040 is a wasteful number, since it uses less digits than its factorization.

326286434040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98842 (or 98838 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 42.

The spelling of 326286434040 in words is "three hundred twenty-six billion, two hundred eighty-six million, four hundred thirty-four thousand, forty".