Search a number
-
+
308545200 = 24345289107
BaseRepresentation
bin10010011001000…
…000011010110000
3210111120201110000
4102121000122300
51112441421300
650341110000
710434406455
oct2231003260
9714521400
10308545200
11149190637
12873b8300
134bc00432
142cd9982c
151c14ac00
hex126406b0

308545200 has 300 divisors, whose sum is σ = 1130251320. Its totient is φ = 80593920.

The previous prime is 308545187. The next prime is 308545229. The reversal of 308545200 is 2545803.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2883547 + ... + 2883653.

Almost surely, 2308545200 is an apocalyptic number.

308545200 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 308545200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565125660).

308545200 is an abundant number, since it is smaller than the sum of its proper divisors (821706120).

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

308545200 is a wasteful number, since it uses less digits than its factorization.

308545200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 308545200 is about 17565.4547336526. The cubic root of 308545200 is about 675.7295815097.

The spelling of 308545200 in words is "three hundred eight million, five hundred forty-five thousand, two hundred".