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305102424 = 233117914629
BaseRepresentation
bin10010001011110…
…111111001011000
3210021002210211210
4102023313321120
51111101234144
650135223120
710363220304
oct2213677130
9707083753
10305102424
11147249a70
1286217aa0
134b2963a3
142c740d04
151bbbaab9
hex122f7e58

305102424 has 64 divisors (see below), whose sum is σ = 842688000. Its totient is φ = 91278720.

The previous prime is 305102411. The next prime is 305102449. The reversal of 305102424 is 424201503.

305102424 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 305102424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13542 + ... + 28170.

It is an arithmetic number, because the mean of its divisors is an integer number (13167000).

Almost surely, 2305102424 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 305102424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421344000).

305102424 is an abundant number, since it is smaller than the sum of its proper divisors (537585576).

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

305102424 is a wasteful number, since it uses less digits than its factorization.

305102424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14728 (or 14724 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 305102424 is about 17467.1813410178. The cubic root of 305102424 is about 673.2068908300.

Adding to 305102424 its reverse (424201503), we get a palindrome (729303927).

The spelling of 305102424 in words is "three hundred five million, one hundred two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 79 88 132 158 237 264 316 474 632 869 948 1738 1896 2607 3476 5214 6952 10428 14629 20856 29258 43887 58516 87774 117032 160919 175548 321838 351096 482757 643676 965514 1155691 1287352 1931028 2311382 3467073 3862056 4622764 6934146 9245528 12712601 13868292 25425202 27736584 38137803 50850404 76275606 101700808 152551212 305102424