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397723249 = 74112372
BaseRepresentation
bin10111101101001…
…100011001110001
31000201101102201201
4113231030121301
51303304120444
6103244331201
712566410000
oct2755143161
91021342651
10397723249
11194560400
12b1243b01
1364525201
143ab70c37
1524db3dd4
hex17b4c671

397723249 has 45 divisors (see below), whose sum is σ = 524153931. Its totient is φ = 301538160.

The previous prime is 397723241. The next prime is 397723303. The reversal of 397723249 is 942327793.

It is a happy number.

The square root of 397723249 is 19943.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 355888225 + 41835024 = 18865^2 + 6468^2 .

It is not a de Polignac number, because 397723249 - 23 = 397723241 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 397723199 and 397723208.

It is not an unprimeable number, because it can be changed into a prime (397723241) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 10749259 + ... + 10749295.

Almost surely, 2397723249 is an apocalyptic number.

397723249 is the 19943-rd square number.

397723249 is the 9972-nd centered octagonal number.

It is an amenable number.

397723249 is a deficient number, since it is larger than the sum of its proper divisors (126430682).

397723249 is an frugal number, since it uses more digits than its factorization.

397723249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 55 counting only the distinct ones).

The product of its digits is 571536, while the sum is 46.

The cubic root of 397723249 is about 735.4057019472.

Multiplying 397723249 by its product of digits (571536), we get a square (227313154840464 = 150769082).

The spelling of 397723249 in words is "three hundred ninety-seven million, seven hundred twenty-three thousand, two hundred forty-nine".

Divisors: 1 7 11 37 49 77 121 259 343 407 539 847 1369 1813 2401 2849 3773 4477 5929 9583 12691 15059 19943 26411 31339 41503 67081 88837 105413 139601 165649 219373 290521 469567 737891 977207 1159543 1535611 3286969 5165237 8116801 10749277 36156659 56817607 397723249