Search a number
-
+
1384093440 = 28335291381
BaseRepresentation
bin101001001111111…
…1001011100000000
310120110102020021000
41102133321130000
510313311442230
6345201532000
746204412562
oct12237713400
93513366230
101384093440
11650314984
12327644000
1319099c602
14d1b71332
15817a1b60
hex527f9700

1384093440 has 288 divisors, whose sum is σ = 5084654400. Its totient is φ = 356106240.

The previous prime is 1384093439. The next prime is 1384093441. The reversal of 1384093440 is 443904831.

It is an interprime number because it is at equal distance from previous prime (1384093439) and next prime (1384093441).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1384093395 and 1384093404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1384093441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1001550 + ... + 1002930.

It is an arithmetic number, because the mean of its divisors is an integer number (17655050).

Almost surely, 21384093440 is an apocalyptic number.

1384093440 is a gapful number since it is divisible by the number (10) 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 1384093440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2542327200).

1384093440 is an abundant number, since it is smaller than the sum of its proper divisors (3700560960).

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

1384093440 is a wasteful number, since it uses less digits than its factorization.

1384093440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1440 (or 1420 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1384093440 is about 37203.4062956606. The cubic root of 1384093440 is about 1114.4360101582.

The spelling of 1384093440 in words is "one billion, three hundred eighty-four million, ninety-three thousand, four hundred forty".