Search a number
-
+
307988128 = 25721031907
BaseRepresentation
bin10010010110111…
…000011010100000
3210110112102021201
4102112320122200
51112321110003
650321130544
710426566400
oct2226703240
9713472251
10307988128
11148940048
1287189a54
134ba669c6
142cc92800
151c08ab1d
hex125b86a0

307988128 has 72 divisors (see below), whose sum is σ = 712569312. Its totient is φ = 130644864.

The previous prime is 307988117. The next prime is 307988129. The reversal of 307988128 is 821889703.

It is not an unprimeable number, because it can be changed into a prime (307988129) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 160551 + ... + 162457.

It is an arithmetic number, because the mean of its divisors is an integer number (9896796).

Almost surely, 2307988128 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 307988128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356284656).

307988128 is an abundant number, since it is smaller than the sum of its proper divisors (404581184).

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

307988128 is a wasteful number, since it uses less digits than its factorization.

307988128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2034 (or 2019 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 46.

The square root of 307988128 is about 17549.5905365339. The cubic root of 307988128 is about 675.3226645734.

The spelling of 307988128 in words is "three hundred seven million, nine hundred eighty-eight thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 103 112 196 206 224 392 412 721 784 824 1442 1568 1648 1907 2884 3296 3814 5047 5768 7628 10094 11536 13349 15256 20188 23072 26698 30512 40376 53396 61024 80752 93443 106792 161504 186886 196421 213584 373772 392842 427168 747544 785684 1374947 1495088 1571368 2749894 2990176 3142736 5499788 6285472 9624629 10999576 19249258 21999152 38498516 43998304 76997032 153994064 307988128