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389971440 = 243252323549
BaseRepresentation
bin10111001111100…
…111110111110000
31000011210121020200
4113033213313300
51244313041230
6102410235200
712443462655
oct2717476760
91004717220
10389971440
11190146351
12aa725b00
1362a3ca41
1439b13c2c
1524382160
hex173e7df0

389971440 has 120 divisors (see below), whose sum is σ = 1366653600. Its totient is φ = 99466752.

The previous prime is 389971427. The next prime is 389971441. The reversal of 389971440 is 44179983.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (389971441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4786 + ... + 28334.

It is an arithmetic number, because the mean of its divisors is an integer number (11388780).

Almost surely, 2389971440 is an apocalyptic number.

389971440 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 389971440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683326800).

389971440 is an abundant number, since it is smaller than the sum of its proper divisors (976682160).

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

389971440 is a wasteful number, since it uses less digits than its factorization.

389971440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23591 (or 23582 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 389971440 is about 19747.6945489847. The cubic root of 389971440 is about 730.5965224871.

The spelling of 389971440 in words is "three hundred eighty-nine million, nine hundred seventy-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 30 36 40 45 46 48 60 69 72 80 90 92 115 120 138 144 180 184 207 230 240 276 345 360 368 414 460 552 690 720 828 920 1035 1104 1380 1656 1840 2070 2760 3312 4140 5520 8280 16560 23549 47098 70647 94196 117745 141294 188392 211941 235490 282588 353235 376784 423882 470980 541627 565176 706470 847764 941960 1059705 1083254 1130352 1412940 1624881 1695528 1883920 2119410 2166508 2708135 2825880 3249762 3391056 4238820 4333016 4874643 5416270 5651760 6499524 8124405 8477640 8666032 9749286 10832540 12999048 16248810 16955280 19498572 21665080 24373215 25998096 32497620 38997144 43330160 48746430 64995240 77994288 97492860 129990480 194985720 389971440