Search a number
-
+
308741400 = 2332521131503
BaseRepresentation
bin10010011001110…
…000010100011000
3210111221200120200
4102121300110120
51113014211100
650345222200
710436154462
oct2231602430
9714850520
10308741400
11149304a90
1287491960
134bc6b826
142d00b132
151c188e00
hex12670518

308741400 has 288 divisors, whose sum is σ = 1169925120. Its totient is φ = 72288000.

The previous prime is 308741387. The next prime is 308741423. The reversal of 308741400 is 4147803.

308741400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent 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 71 ways as a sum of consecutive naturals, for example, 613549 + ... + 614051.

It is an arithmetic number, because the mean of its divisors is an integer number (4062240).

Almost surely, 2308741400 is an apocalyptic number.

308741400 is a gapful number since it is divisible by the number (30) 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 308741400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584962560).

308741400 is an abundant number, since it is smaller than the sum of its proper divisors (861183720).

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

308741400 is a wasteful number, since it uses less digits than its factorization.

308741400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 308741400 is about 17571.0386716324. The cubic root of 308741400 is about 675.8727804664.

The spelling of 308741400 in words is "three hundred eight million, seven hundred forty-one thousand, four hundred".