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397045476 = 22310412
BaseRepresentation
bin10111101010100…
…110111011100100
31000200010000000000
4113222212323210
51303120423401
6103222021300
712560554662
oct2752467344
91020100000
10397045476
11194138163
12b0b77830
1364348869
143aa35c32
1524ccd186
hex17aa6ee4

397045476 has 99 divisors (see below), whose sum is σ = 1068278953. Its totient is φ = 129120480.

The previous prime is 397045457. The next prime is 397045477. The reversal of 397045476 is 674540793.

The square root of 397045476 is 19926.

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

397045476 is a `hidden beast` number, since 39 + 70 + 4 + 547 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 19131876 + 377913600 = 4374^2 + 19440^2 .

It is a super-2 number, since 2×3970454762 = 315290220024133152, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (397045477) by changing a digit.

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 32 ways as a sum of consecutive naturals, for example, 9684016 + ... + 9684056.

Almost surely, 2397045476 is an apocalyptic number.

397045476 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

397045476 is the 19926-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 397045476

397045476 is an abundant number, since it is smaller than the sum of its proper divisors (671233477).

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

397045476 is an frugal number, since it uses more digits than its factorization.

397045476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The cubic root of 397045476 is about 734.9877215775.

The spelling of 397045476 in words is "three hundred ninety-seven million, forty-five thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 81 82 108 123 162 164 243 246 324 369 486 492 729 738 972 1107 1458 1476 1681 2187 2214 2916 3321 3362 4374 4428 5043 6561 6642 6724 8748 9963 10086 13122 13284 15129 19683 19926 20172 26244 29889 30258 39366 39852 45387 59049 59778 60516 78732 89667 90774 118098 119556 136161 179334 181548 236196 269001 272322 358668 408483 538002 544644 807003 816966 1076004 1225449 1614006 1633932 2421009 2450898 3228012 3676347 4842018 4901796 7352694 9684036 11029041 14705388 22058082 33087123 44116164 66174246 99261369 132348492 198522738 397045476