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389041380 = 223457213229
BaseRepresentation
bin10111001100000…
…100110011100100
31000010001100110000
4113030010303210
51244043311010
6102334301300
712432540300
oct2714046344
91003040400
10389041380
1118a670602
12aa357830
13627a5600
1439950d00
152424b7c0
hex17304ce4

389041380 has 540 divisors, whose sum is σ = 1590310260. Its totient is φ = 79252992.

The previous prime is 389041369. The next prime is 389041381. The reversal of 389041380 is 83140983.

It can be written as a sum of positive squares in 6 ways, for example, as 73410624 + 315630756 = 8568^2 + 17766^2 .

It is a tau number, because it is divible by the number of its divisors (540).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (389041381) by changing a digit.

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 179 ways as a sum of consecutive naturals, for example, 13415206 + ... + 13415234.

It is an arithmetic number, because the mean of its divisors is an integer number (2945019).

Almost surely, 2389041380 is an apocalyptic number.

389041380 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 389041380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795155130).

389041380 is an abundant number, since it is smaller than the sum of its proper divisors (1201268880).

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

389041380 is a wasteful number, since it uses less digits than its factorization.

389041380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 389041380 is about 19724.1319200618. The cubic root of 389041380 is about 730.0152495720.

The spelling of 389041380 in words is "three hundred eighty-nine million, forty-one thousand, three hundred eighty".