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481123434 = 231119593647
BaseRepresentation
bin11100101011010…
…101110001101010
31020112022121021110
4130223111301222
51441131422214
6115424051150
714631324141
oct3453256152
91215277243
10481123434
11227644180
12115163ab6
13788a612c
1447c80758
152c38a159
hex1cad5c6a

481123434 has 64 divisors (see below), whose sum is σ = 1108546560. Its totient is φ = 137675520.

The previous prime is 481123429. The next prime is 481123507. The reversal of 481123434 is 434321184.

It is a super-3 number, since 3×4811234343 (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 743299 + ... + 743945.

It is an arithmetic number, because the mean of its divisors is an integer number (17321040).

Almost surely, 2481123434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 481123434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554273280).

481123434 is an abundant number, since it is smaller than the sum of its proper divisors (627423126).

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

481123434 is a wasteful number, since it uses less digits than its factorization.

481123434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1275.

The product of its digits is 9216, while the sum is 30.

The square root of 481123434 is about 21934.5260719260. The cubic root of 481123434 is about 783.5838988781.

The spelling of 481123434 in words is "four hundred eighty-one million, one hundred twenty-three thousand, four hundred thirty-four".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 209 418 593 627 647 1186 1254 1294 1779 1941 3558 3882 6523 7117 11267 12293 13046 14234 19569 21351 22534 24586 33801 36879 39138 42702 67602 73758 123937 135223 247874 270446 371811 383671 405669 743622 767342 811338 1151013 2302026 4220381 7289749 8440762 12661143 14579498 21869247 25322286 43738494 80187239 160374478 240561717 481123434