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8378397 = 381277
BaseRepresentation
bin11111111101100000011101
3120202200000000
4133331200131
54121102042
6455324513
7131133546
oct37754035
916680000
108378397
1148028a5
122980739
131974741
1411814cd
15b0774c
hex7fd81d

8378397 has 18 divisors (see below), whose sum is σ = 12576798. Its totient is φ = 5581224.

The previous prime is 8378393. The next prime is 8378407. The reversal of 8378397 is 7938738.

It can be written as a sum of positive squares in only one way, i.e., 7584516 + 793881 = 2754^2 + 891^2 .

It is not a de Polignac number, because 8378397 - 22 = 8378393 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8378393) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5923 + ... + 7199.

It is an arithmetic number, because the mean of its divisors is an integer number (698711).

Almost surely, 28378397 is an apocalyptic number.

It is an amenable number.

8378397 is a deficient number, since it is larger than the sum of its proper divisors (4198401).

8378397 is an frugal number, since it uses more digits than its factorization.

8378397 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1301 (or 1280 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 8378397 is about 2894.5460784033. The cubic root of 8378397 is about 203.1048581843.

The spelling of 8378397 in words is "eight million, three hundred seventy-eight thousand, three hundred ninety-seven".

Divisors: 1 3 9 27 81 243 729 1277 2187 3831 6561 11493 34479 103437 310311 930933 2792799 8378397