Search a number
-
+
305120256 = 2103722027
BaseRepresentation
bin10010001011111…
…100010000000000
3210021010201022020
4102023330100000
51111102322011
650135441440
710363323300
oct2213742000
9707121266
10305120256
11147261401
1286226280
134b2a153c
142c747600
151bbc1006
hex122fc400

305120256 has 132 divisors (see below), whose sum is σ = 946500048. Its totient is φ = 87134208.

The previous prime is 305120177. The next prime is 305120317. The reversal of 305120256 is 652021503.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 149515 + ... + 151541.

Almost surely, 2305120256 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 305120256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473250024).

305120256 is an abundant number, since it is smaller than the sum of its proper divisors (641379792).

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

305120256 is a wasteful number, since it uses less digits than its factorization.

305120256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2064 (or 2039 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 305120256 is about 17467.6917765342. The cubic root of 305120256 is about 673.2200059792.

Adding to 305120256 its reverse (652021503), we get a palindrome (957141759).

The spelling of 305120256 in words is "three hundred five million, one hundred twenty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 384 392 448 512 588 672 768 784 896 1024 1176 1344 1536 1568 1792 2027 2352 2688 3072 3136 3584 4054 4704 5376 6081 6272 7168 8108 9408 10752 12162 12544 14189 16216 18816 21504 24324 25088 28378 32432 37632 42567 48648 50176 56756 64864 75264 85134 97296 99323 113512 129728 150528 170268 194592 198646 227024 259456 297969 340536 389184 397292 454048 518912 595938 681072 778368 794584 908096 1037824 1191876 1362144 1556736 1589168 1816192 2075648 2383752 2724288 3113472 3178336 3632384 4767504 5448576 6226944 6356672 7264768 9535008 10897152 12713344 14529536 19070016 21794304 25426688 38140032 43588608 50853376 76280064 101706752 152560128 305120256