Search a number
-
+
308938752 = 2113337151
BaseRepresentation
bin10010011010100…
…000100000000000
3210112022201022000
4102122200200000
51113042020002
650353344000
710440636033
oct2232404000
9715281260
10308938752
1114942a291
1287568000
134c00a5c5
142d05d01a
151c1c761c
hex126a0800

308938752 has 192 divisors, whose sum is σ = 946108800. Its totient is φ = 99532800.

The previous prime is 308938697. The next prime is 308938757. The reversal of 308938752 is 257839803.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 308938698 and 308938707.

It is not an unprimeable number, because it can be changed into a prime (308938757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2045877 + ... + 2046027.

It is an arithmetic number, because the mean of its divisors is an integer number (4927650).

Almost surely, 2308938752 is an apocalyptic number.

308938752 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 308938752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473054400).

308938752 is an abundant number, since it is smaller than the sum of its proper divisors (637170048).

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

308938752 is a wasteful number, since it uses less digits than its factorization.

308938752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 308938752 is about 17576.6536064178. The cubic root of 308938752 is about 676.0167590350.

The spelling of 308938752 in words is "three hundred eight million, nine hundred thirty-eight thousand, seven hundred fifty-two".