Search a number
-
+
730401840 = 243357267103
BaseRepresentation
bin101011100010010…
…000110000110000
31212220101020222000
4223202100300300
52443440324330
6200251014000
724046212300
oct5342206060
91786336860
10730401840
11345324793
1218473a300
13b842524c
146d00d600
15441ca560
hex2b890c30

730401840 has 480 divisors, whose sum is σ = 2999093760. Its totient is φ = 162860544.

The previous prime is 730401751. The next prime is 730401871. The reversal of 730401840 is 48104037.

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

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 95 ways as a sum of consecutive naturals, for example, 7091229 + ... + 7091331.

It is an arithmetic number, because the mean of its divisors is an integer number (6248112).

Almost surely, 2730401840 is an apocalyptic number.

730401840 is a gapful number since it is divisible by the number (70) 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 730401840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1499546880).

730401840 is an abundant number, since it is smaller than the sum of its proper divisors (2268691920).

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

730401840 is a wasteful number, since it uses less digits than its factorization.

730401840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 187 counting only the distinct ones).

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

The square root of 730401840 is about 27025.9475319553. The cubic root of 730401840 is about 900.5765195048.

Adding to 730401840 its reverse (48104037), we get a palindrome (778505877).

The spelling of 730401840 in words is "seven hundred thirty million, four hundred one thousand, eight hundred forty".