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305696336 = 24112157901
BaseRepresentation
bin10010001110001…
…000111001010000
3210022012222112112
4102032020321100
51111224240321
650200044452
710401242651
oct2216107120
9708188475
10305696336
11147615200
1286463728
134b44380a
142c857528
151bc86a5b
hex12388e50

305696336 has 30 divisors (see below), whose sum is σ = 651029946. Its totient is φ = 138952000.

The previous prime is 305696323. The next prime is 305696341. The reversal of 305696336 is 633696503.

It can be written as a sum of positive squares in only one way, i.e., 235806736 + 69889600 = 15356^2 + 8360^2 .

It is a junction number, because it is equal to n+sod(n) for n = 305696293 and 305696302.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 77015 + ... + 80886.

Almost surely, 2305696336 is an apocalyptic number.

It is an amenable number.

305696336 is an abundant number, since it is smaller than the sum of its proper divisors (345333610).

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

305696336 is a wasteful number, since it uses less digits than its factorization.

305696336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157931 (or 157914 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 41.

The square root of 305696336 is about 17484.1738723910. The cubic root of 305696336 is about 673.6434289304.

The spelling of 305696336 in words is "three hundred five million, six hundred ninety-six thousand, three hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1936 157901 315802 631604 1263208 1736911 2526416 3473822 6947644 13895288 19106021 27790576 38212042 76424084 152848168 305696336