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397013364 = 22321129181191
BaseRepresentation
bin10111101010011…
…111000101110100
31000200001100221200
4113222133011310
51303113411424
6103221212500
712560362236
oct2752370564
91020040850
10397013364
11194116020
12b0b61130
1364337067
143aa28256
1524cc38c9
hex17a9f174

397013364 has 144 divisors (see below), whose sum is σ = 1144765440. Its totient is φ = 114912000.

The previous prime is 397013333. The next prime is 397013387. The reversal of 397013364 is 463310793.

It is a super-2 number, since 2×3970133642 = 315239222389192992, which contains 22 as substring.

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

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2078509 + ... + 2078699.

It is an arithmetic number, because the mean of its divisors is an integer number (7949760).

Almost surely, 2397013364 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 397013364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572382720).

397013364 is an abundant number, since it is smaller than the sum of its proper divisors (747752076).

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

397013364 is a wasteful number, since it uses less digits than its factorization.

397013364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 397013364 is about 19925.1942023158. The cubic root of 397013364 is about 734.9679064148.

The spelling of 397013364 in words is "three hundred ninety-seven million, thirteen thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 29 33 36 44 58 66 87 99 116 132 174 181 191 198 261 319 348 362 382 396 522 543 573 638 724 764 957 1044 1086 1146 1276 1629 1719 1914 1991 2101 2172 2292 2871 3258 3438 3828 3982 4202 5249 5539 5742 5973 6303 6516 6876 7964 8404 10498 11078 11484 11946 12606 15747 16617 17919 18909 20996 22156 23892 25212 31494 33234 34571 35838 37818 47241 49851 57739 60929 62988 66468 69142 71676 75636 94482 99702 103713 115478 121858 138284 173217 182787 188964 199404 207426 230956 243716 311139 346434 365574 380281 414852 519651 548361 622278 692868 731148 760562 1002559 1039302 1096722 1140843 1244556 1521124 2005118 2078604 2193444 2281686 3007677 3422529 4010236 4563372 6015354 6845058 9023031 11028149 12030708 13690116 18046062 22056298 33084447 36092124 44112596 66168894 99253341 132337788 198506682 397013364