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397027440 = 24335183809
BaseRepresentation
bin10111101010100…
…010100001110000
31000200002002021000
4113222202201300
51303114334230
6103221402000
712560451255
oct2752424160
91020062230
10397027440
11194125657
12b0b69300
13643405a4
143aa2d42c
1524cc7b60
hex17aa2870

397027440 has 80 divisors (see below), whose sum is σ = 1367546400. Its totient is φ = 105873408.

The previous prime is 397027373. The next prime is 397027453. The reversal of 397027440 is 44720793.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-4 number, since 4×3970274404 (a number of 35 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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

It is a junction number, because it is equal to n+sod(n) for n = 397027395 and 397027404.

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, 89745 + ... + 94064.

It is an arithmetic number, because the mean of its divisors is an integer number (17094330).

Almost surely, 2397027440 is an apocalyptic number.

397027440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

397027440 is an abundant number, since it is smaller than the sum of its proper divisors (970518960).

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

397027440 is a wasteful number, since it uses less digits than its factorization.

397027440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183831 (or 183819 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 397027440 is about 19925.5474203345. The cubic root of 397027440 is about 734.9765923408.

The spelling of 397027440 in words is "three hundred ninety-seven million, twenty-seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 183809 367618 551427 735236 919045 1102854 1470472 1654281 1838090 2205708 2757135 2940944 3308562 3676180 4411416 4962843 5514270 6617124 7352360 8271405 8822832 9925686 11028540 13234248 14704720 16542810 19851372 22057080 24814215 26468496 33085620 39702744 44114160 49628430 66171240 79405488 99256860 132342480 198513720 397027440