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305234406 = 23410717609
BaseRepresentation
bin10010001100011…
…000000111100110
3210021100111220000
4102030120013212
51111120000111
650142122130
710364310141
oct2214300746
9707314800
10305234406
1114732a144
1286280346
134b311499
142c777058
151bbe4c56
hex123181e6

305234406 has 40 divisors (see below), whose sum is σ = 690382440. Its totient is φ = 100788192.

The previous prime is 305234399. The next prime is 305234407. The reversal of 305234406 is 604432503.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 305234406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305234407) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8530 + ... + 26138.

It is an arithmetic number, because the mean of its divisors is an integer number (17259561).

Almost surely, 2305234406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 305234406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345191220).

305234406 is an abundant number, since it is smaller than the sum of its proper divisors (385148034).

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

305234406 is a wasteful number, since it uses less digits than its factorization.

305234406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17730 (or 17721 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 305234406 is about 17470.9589318961. The cubic root of 305234406 is about 673.3039493653.

Adding to 305234406 its reverse (604432503), we get a palindrome (909666909).

The spelling of 305234406 in words is "three hundred five million, two hundred thirty-four thousand, four hundred six".

Divisors: 1 2 3 6 9 18 27 54 81 107 162 214 321 642 963 1926 2889 5778 8667 17334 17609 35218 52827 105654 158481 316962 475443 950886 1426329 1884163 2852658 3768326 5652489 11304978 16957467 33914934 50872401 101744802 152617203 305234406