Search a number
-
+
305430240 = 2535636313
BaseRepresentation
bin10010001101000…
…111111011100000
3210021201110112010
4102031013323200
51111142231430
650150232520
710366054113
oct2215077340
9707643463
10305430240
11147453295
1286355740
134b37c66b
142c7c857a
151bc32cb0
hex12347ee0

305430240 has 48 divisors (see below), whose sum is σ = 962106768. Its totient is φ = 81447936.

The previous prime is 305430239. The next prime is 305430241. The reversal of 305430240 is 42034503.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (305430239) and next prime (305430241).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305430241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 317677 + ... + 318636.

It is an arithmetic number, because the mean of its divisors is an integer number (20043891).

Almost surely, 2305430240 is an apocalyptic number.

305430240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

305430240 is an abundant number, since it is smaller than the sum of its proper divisors (656676528).

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

305430240 is a wasteful number, since it uses less digits than its factorization.

305430240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636331 (or 636323 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 305430240 is about 17476.5625910818. The cubic root of 305430240 is about 673.4479126212.

Adding to 305430240 its reverse (42034503), we get a palindrome (347464743).

The spelling of 305430240 in words is "three hundred five million, four hundred thirty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 636313 1272626 1908939 2545252 3181565 3817878 5090504 6363130 7635756 9544695 10181008 12726260 15271512 19089390 20362016 25452520 30543024 38178780 50905040 61086048 76357560 101810080 152715120 305430240