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974001681 = 3210121032
BaseRepresentation
bin111010000011100…
…001011000010001
32111212202102010100
4322003201120101
53443321023211
6240352123013
733064610022
oct7203413021
92455672110
10974001681
1145a886974
12232236469
13126a36773
1493500c49
155a798156
hex3a0e1611

974001681 has 27 divisors (see below), whose sum is σ = 1434888507. Its totient is φ = 636663600.

The previous prime is 974001673. The next prime is 974001683. The reversal of 974001681 is 186100479.

The square root of 974001681 is 31209.

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

974001681 is a `hidden beast` number, since 97 + 400 + 168 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 935809281 + 38192400 = 30591^2 + 6180^2 .

It is not a de Polignac number, because 974001681 - 23 = 974001673 is a prime.

It is a super-2 number, since 2×9740016812 = 1897358549181651522, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (974001683) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9456276 + ... + 9456378.

Almost surely, 2974001681 is an apocalyptic number.

974001681 is the 31209-th square number.

974001681 is the 15605-th centered octagonal number.

It is an amenable number.

974001681 is a deficient number, since it is larger than the sum of its proper divisors (460886826).

974001681 is a wasteful number, since it uses less digits than its factorization.

974001681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The cubic root of 974001681 is about 991.2576883733.

Multiplying 974001681 by its sum of digits (36), we get a square (35064060516 = 1872542).

The spelling of 974001681 in words is "nine hundred seventy-four million, one thousand, six hundred eighty-one".

Divisors: 1 3 9 101 103 303 309 909 927 10201 10403 10609 30603 31209 31827 91809 93627 95481 1050703 1071509 3152109 3214527 9456327 9643581 108222409 324667227 974001681