Search a number
-
+
397223680 = 2857431031
BaseRepresentation
bin10111101011010…
…010011100000000
31000200110001110011
4113223102130000
51303142124210
6103225514304
712562226350
oct2753223400
91020401404
10397223680
1119424a037
12b1042994
13643ab9c9
143aa80b60
1524d15d8a
hex17ad2700

397223680 has 144 divisors (see below), whose sum is σ = 1113767424. Its totient is φ = 132894720.

The previous prime is 397223647. The next prime is 397223693. The reversal of 397223680 is 86322793.

397223680 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

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 15 ways as a sum of consecutive naturals, for example, 384765 + ... + 385795.

It is an arithmetic number, because the mean of its divisors is an integer number (7734496).

Almost surely, 2397223680 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 397223680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556883712).

397223680 is an abundant number, since it is smaller than the sum of its proper divisors (716543744).

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

397223680 is a wasteful number, since it uses less digits than its factorization.

397223680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102 (or 1088 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

The square root of 397223680 is about 19930.4711434527. The cubic root of 397223680 is about 735.0976654583.

The spelling of 397223680 in words is "three hundred ninety-seven million, two hundred twenty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 43 56 64 70 80 86 112 128 140 160 172 215 224 256 280 301 320 344 430 448 560 602 640 688 860 896 1031 1120 1204 1280 1376 1505 1720 1792 2062 2240 2408 2752 3010 3440 4124 4480 4816 5155 5504 6020 6880 7217 8248 8960 9632 10310 11008 12040 13760 14434 16496 19264 20620 24080 27520 28868 32992 36085 38528 41240 44333 48160 55040 57736 65984 72170 77056 82480 88666 96320 115472 131968 144340 164960 177332 192640 221665 230944 263936 288680 310331 329920 354664 385280 443330 461888 577360 620662 659840 709328 886660 923776 1154720 1241324 1319680 1418656 1551655 1773320 1847552 2309440 2482648 2837312 3103310 3546640 4618880 4965296 5674624 6206620 7093280 9237760 9930592 11349248 12413240 14186560 19861184 24826480 28373120 39722368 49652960 56746240 79444736 99305920 198611840 397223680