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32240801 = 374153401
BaseRepresentation
bin111101011111…
…1010010100001
32020200000001202
41322333102201
531223201201
63111010545
7541020335
oct172772241
966600052
1032240801
1117220a9a
12a969a55
1368aabc8
1443d37c5
152c6cc6b
hex1ebf4a1

32240801 has 16 divisors (see below), whose sum is σ = 34645968. Its totient is φ = 29952000.

The previous prime is 32240773. The next prime is 32240807. The reversal of 32240801 is 10804223.

It can be written as a sum of positive squares in 8 ways, for example, as 4950625 + 27290176 = 2225^2 + 5224^2 .

It is a cyclic number.

It is not a de Polignac number, because 32240801 - 26 = 32240737 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (32240807) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80201 + ... + 80601.

It is an arithmetic number, because the mean of its divisors is an integer number (2165373).

It is the magic constant of a 401 × 401 magic square.

Almost surely, 232240801 is an apocalyptic number.

It is an amenable number.

32240801 is a deficient number, since it is larger than the sum of its proper divisors (2405167).

32240801 is a wasteful number, since it uses less digits than its factorization.

32240801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532.

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 32240801 is about 5678.0983612474. The cubic root of 32240801 is about 318.2745706859.

The spelling of 32240801 in words is "thirty-two million, two hundred forty thousand, eight hundred one".

Divisors: 1 37 41 53 401 1517 1961 2173 14837 16441 21253 80401 608317 786361 871373 32240801