Search a number
-
+
397989360 = 24325796997
BaseRepresentation
bin10111101110001…
…101010111110000
31000201212221202200
4113232031113300
51303341124420
6103254143200
712601565556
oct2756152760
91021787680
10397989360
1119472232a
12b1351b00
13645b9382
143abddbd6
1524e17b90
hex17b8d5f0

397989360 has 120 divisors (see below), whose sum is σ = 1353693120. Its totient is φ = 104772096.

The previous prime is 397989343. The next prime is 397989367. The reversal of 397989360 is 63989793.

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

It is a junction number, because it is equal to n+sod(n) for n = 397989297 and 397989306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (397989367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53382 + ... + 60378.

It is an arithmetic number, because the mean of its divisors is an integer number (11280776).

Almost surely, 2397989360 is an apocalyptic number.

397989360 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 397989360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676846560).

397989360 is an abundant number, since it is smaller than the sum of its proper divisors (955703760).

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

397989360 is a wasteful number, since it uses less digits than its factorization.

397989360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7095 (or 7086 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The square root of 397989360 is about 19949.6706739735. The cubic root of 397989360 is about 735.5696818980.

It can be divided in two parts, 3979 and 89360, that added together give a palindrome (93339).

The spelling of 397989360 in words is "three hundred ninety-seven million, nine hundred eighty-nine thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 79 80 90 120 144 158 180 237 240 316 360 395 474 632 711 720 790 948 1185 1264 1422 1580 1896 2370 2844 3160 3555 3792 4740 5688 6320 6997 7110 9480 11376 13994 14220 18960 20991 27988 28440 34985 41982 55976 56880 62973 69970 83964 104955 111952 125946 139940 167928 209910 251892 279880 314865 335856 419820 503784 552763 559760 629730 839640 1007568 1105526 1259460 1658289 1679280 2211052 2518920 2763815 3316578 4422104 4974867 5037840 5527630 6633156 8291445 8844208 9949734 11055260 13266312 16582890 19899468 22110520 24874335 26532624 33165780 39798936 44221040 49748670 66331560 79597872 99497340 132663120 198994680 397989360