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305702064 = 243211318787
BaseRepresentation
bin10010001110001…
…010010010110000
3210022020021101200
4102032022102300
51111224431224
650200131200
710401265443
oct2216122260
9708207350
10305702064
11147619538
1286466b00
134b4462c5
142c85965a
151bc885c9
hex1238a4b0

305702064 has 60 divisors (see below), whose sum is σ = 863158296. Its totient is φ = 100993536.

The previous prime is 305702063. The next prime is 305702083. The reversal of 305702064 is 460207503.

It is a happy number.

305702064 is a `hidden beast` number, since 30 + 570 + 2 + 0 + 64 = 666.

It is not an unprimeable number, because it can be changed into a prime (305702063) 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 11 ways as a sum of consecutive naturals, for example, 6879 + ... + 25665.

Almost surely, 2305702064 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 305702064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431579148).

305702064 is an abundant number, since it is smaller than the sum of its proper divisors (557456232).

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

305702064 is a wasteful number, since it uses less digits than its factorization.

305702064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18914 (or 18905 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 305702064 is about 17484.3376769039. The cubic root of 305702064 is about 673.6476363796.

Adding to 305702064 its reverse (460207503), we get a palindrome (765909567).

The spelling of 305702064 in words is "three hundred five million, seven hundred two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 113 144 226 339 452 678 904 1017 1356 1808 2034 2712 4068 5424 8136 16272 18787 37574 56361 75148 112722 150296 169083 225444 300592 338166 450888 676332 901776 1352664 2122931 2705328 4245862 6368793 8491724 12737586 16983448 19106379 25475172 33966896 38212758 50950344 76425516 101900688 152851032 305702064