Search a number
-
+
305930898 = 23371324789
BaseRepresentation
bin10010001111000…
…010001010010010
3210022122220022000
4102033002022102
51111304242043
650205054430
710403240550
oct2217021222
9708586260
10305930898
11147765459
1286557416
134b4c6500
142c8b8bd0
151bcd12d3
hex123c2292

305930898 has 96 divisors (see below), whose sum is σ = 841507200. Its totient is φ = 80668224.

The previous prime is 305930879. The next prime is 305930987. The reversal of 305930898 is 898039503.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61488 + ... + 66276.

It is an arithmetic number, because the mean of its divisors is an integer number (8765700).

Almost surely, 2305930898 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 305930898, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420753600).

305930898 is an abundant number, since it is smaller than the sum of its proper divisors (535576302).

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

305930898 is a wasteful number, since it uses less digits than its factorization.

305930898 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4833 (or 4814 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 305930898 is about 17490.8804238094. The cubic root of 305930898 is about 673.8156812981.

The spelling of 305930898 in words is "three hundred five million, nine hundred thirty thousand, eight hundred ninety-eight".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 91 117 126 169 182 189 234 273 338 351 378 507 546 702 819 1014 1183 1521 1638 2366 2457 3042 3549 4563 4789 4914 7098 9126 9578 10647 14367 21294 28734 31941 33523 43101 62257 63882 67046 86202 100569 124514 129303 186771 201138 258606 301707 373542 435799 560313 603414 809341 871598 905121 1120626 1307397 1618682 1680939 1810242 2428023 2614794 3361878 3922191 4856046 5665387 7284069 7844382 11330774 11766573 14568138 16996161 21852207 23533146 33992322 43704414 50988483 101976966 152965449 305930898