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305316396 = 22327112171931
BaseRepresentation
bin10010001100101…
…100001000101100
3210021111200100200
4102030230020230
51111130111041
650143553500
710365101160
oct2214541054
9707450320
10305316396
11147385800
12862bb890
134b33c8b8
142c798ca0
151bc0e1b6
hex1232c22c

305316396 has 432 divisors, whose sum is σ = 1115412480. Its totient is φ = 68428800.

The previous prime is 305316353. The next prime is 305316397. The reversal of 305316396 is 693613503.

305316396 is a `hidden beast` number, since 30 + 531 + 6 + 3 + 96 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 305316396.

It is not an unprimeable number, because it can be changed into a prime (305316397) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 9848901 + ... + 9848931.

Almost surely, 2305316396 is an apocalyptic number.

305316396 is a gapful number since it is divisible by the number (36) 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 305316396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557706240).

305316396 is an abundant number, since it is smaller than the sum of its proper divisors (810096084).

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

305316396 is a wasteful number, since it uses less digits than its factorization.

305316396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 36.

The square root of 305316396 is about 17473.3052397078. The cubic root of 305316396 is about 673.3642300846.

Adding to 305316396 its reverse (693613503), we get a palindrome (998929899).

The spelling of 305316396 in words is "three hundred five million, three hundred sixteen thousand, three hundred ninety-six".