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1389378384 = 243240124061
BaseRepresentation
bin101001011010000…
…0011101101010000
310120211100201211200
41102310003231100
510321140102014
6345511111200
746300343562
oct12264035520
93524321750
101389378384
116532a45a9
12329372500
13191acccb4
14d2749332
1581e97a09
hex52d03b50

1389378384 has 60 divisors (see below), whose sum is σ = 3898188372. Its totient is φ = 461952000.

The previous prime is 1389378373. The next prime is 1389378391. The reversal of 1389378384 is 4838739831.

It can be written as a sum of positive squares in 2 ways, for example, as 1378488384 + 10890000 = 37128^2 + 3300^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1389378384.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45714 + ... + 69774.

Almost surely, 21389378384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1389378384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1949094186).

1389378384 is an abundant number, since it is smaller than the sum of its proper divisors (2508809988).

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

1389378384 is a wasteful number, since it uses less digits than its factorization.

1389378384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24476 (or 24467 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 1389378384 is about 37274.3663125210. The cubic root of 1389378384 is about 1115.8526417374.

The spelling of 1389378384 in words is "one billion, three hundred eighty-nine million, three hundred seventy-eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 401 802 1203 1604 2406 3208 3609 4812 6416 7218 9624 14436 19248 24061 28872 48122 57744 72183 96244 144366 192488 216549 288732 384976 433098 577464 866196 1154928 1732392 3464784 9648461 19296922 28945383 38593844 57890766 77187688 86836149 115781532 154375376 173672298 231563064 347344596 463126128 694689192 1389378384