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305424431 = 131731109409
BaseRepresentation
bin10010001101000…
…110100000101111
3210021201011112222
4102031012200233
51111142040211
650150145555
710366031144
oct2215064057
9707634488
10305424431
11147449994
12863522bb
134b379b20
142c7c63cb
151bc311db
hex1234682f

305424431 has 32 divisors (see below), whose sum is σ = 363686400. Its totient is φ = 253808640.

The previous prime is 305424421. The next prime is 305424437. The reversal of 305424431 is 134424503.

It is not a de Polignac number, because 305424431 - 26 = 305424367 is a prime.

It is a super-2 number, since 2×3054244312 = 186568166103347522, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 305424431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305424437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 746555 + ... + 746963.

It is an arithmetic number, because the mean of its divisors is an integer number (11365200).

Almost surely, 2305424431 is an apocalyptic number.

305424431 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

305424431 is a deficient number, since it is larger than the sum of its proper divisors (58261969).

305424431 is a wasteful number, since it uses less digits than its factorization.

305424431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579.

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 305424431 is about 17476.3963962826. The cubic root of 305424431 is about 673.4436431425.

Adding to 305424431 its reverse (134424503), we get a palindrome (439848934).

The spelling of 305424431 in words is "three hundred five million, four hundred twenty-four thousand, four hundred thirty-one".

Divisors: 1 13 17 31 109 221 403 409 527 1417 1853 3379 5317 6851 6953 12679 24089 43927 44581 57443 90389 164827 215543 579553 746759 757877 1382011 2802059 9852401 17966143 23494187 305424431