Search a number
-
+
397335060 = 223253122297
BaseRepresentation
bin10111101011101…
…101101000010100
31000200122201020100
4113223231220110
51303204210220
6103232134100
712563202153
oct2753555024
91020581210
10397335060
11194315791
12b1097330
136441a605
143aaad59a
1524d38d90
hex17aeda14

397335060 has 108 divisors (see below), whose sum is σ = 1245925044. Its totient is φ = 102493440.

The previous prime is 397335053. The next prime is 397335073. The reversal of 397335060 is 60533793.

It can be written as a sum of positive squares in 2 ways, for example, as 164711556 + 232623504 = 12834^2 + 15252^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 171832 + ... + 174128.

It is an arithmetic number, because the mean of its divisors is an integer number (11536343).

Almost surely, 2397335060 is an apocalyptic number.

397335060 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 397335060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622962522).

397335060 is an abundant number, since it is smaller than the sum of its proper divisors (848589984).

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

397335060 is a wasteful number, since it uses less digits than its factorization.

397335060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2374 (or 2338 counting only the distinct ones).

The product of its (nonzero) digits is 51030, while the sum is 36.

The square root of 397335060 is about 19933.2651615334. The cubic root of 397335060 is about 735.1663652285.

The spelling of 397335060 in words is "three hundred ninety-seven million, three hundred thirty-five thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 465 558 620 930 961 1116 1395 1860 1922 2297 2790 2883 3844 4594 4805 5580 5766 6891 8649 9188 9610 11485 11532 13782 14415 17298 19220 20673 22970 27564 28830 34455 34596 41346 43245 45940 57660 68910 71207 82692 86490 103365 137820 142414 172980 206730 213621 284828 356035 413460 427242 640863 712070 854484 1068105 1281726 1424140 2136210 2207417 2563452 3204315 4272420 4414834 6408630 6622251 8829668 11037085 12817260 13244502 19866753 22074170 26489004 33111255 39733506 44148340 66222510 79467012 99333765 132445020 198667530 397335060