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1305424336 = 241922718917
BaseRepresentation
bin100110111001111…
…0011000111010000
310100222101102112111
41031303303013100
510133142034321
6333311435104
744230631566
oct11563630720
93328342474
101305424336
1160a972697
12305225a94
1317a5b6c48
14c5533a36
15799125e1
hex4dcf31d0

1305424336 has 40 divisors (see below), whose sum is σ = 2674248480. Its totient is φ = 615602304.

The previous prime is 1305424319. The next prime is 1305424391. The reversal of 1305424336 is 6334245031.

It is a junction number, because it is equal to n+sod(n) for n = 1305424298 and 1305424307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59550 + ... + 78466.

It is an arithmetic number, because the mean of its divisors is an integer number (66856212).

Almost surely, 21305424336 is an apocalyptic number.

1305424336 is a gapful number since it is divisible by the number (16) 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 1305424336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1337124240).

1305424336 is an abundant number, since it is smaller than the sum of its proper divisors (1368824144).

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

1305424336 is a wasteful number, since it uses less digits than its factorization.

1305424336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19171 (or 19165 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 31.

The square root of 1305424336 is about 36130.6564568096. The cubic root of 1305424336 is about 1092.9087463335.

Adding to 1305424336 its reverse (6334245031), we get a palindrome (7639669367).

The spelling of 1305424336 in words is "one billion, three hundred five million, four hundred twenty-four thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 19 38 76 152 227 304 454 908 1816 3632 4313 8626 17252 18917 34504 37834 69008 75668 151336 302672 359423 718846 1437692 2875384 4294159 5750768 8588318 17176636 34353272 68706544 81589021 163178042 326356084 652712168 1305424336