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407161332 = 223211310037
BaseRepresentation
bin11000010001001…
…100100111110100
31001101010221100100
4120101030213310
51313213130312
6104222514100
713042546164
oct3021144764
91041127310
10407161332
11199917376
12b4435930
136647b086
143c10a5a4
1525b2a5dc
hex1844c9f4

407161332 has 18 divisors (see below), whose sum is σ = 1029213458. Its totient is φ = 135720432.

The previous prime is 407161331. The next prime is 407161361. The reversal of 407161332 is 233161704.

407161332 is a `hidden beast` number, since 40 + 7 + 1 + 613 + 3 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 400160016 + 7001316 = 20004^2 + 2646^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a junction number, because it is equal to n+sod(n) for n = 407161296 and 407161305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407161331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5654983 + ... + 5655054.

Almost surely, 2407161332 is an apocalyptic number.

It is an amenable number.

407161332 is an abundant number, since it is smaller than the sum of its proper divisors (622052126).

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

407161332 is a wasteful number, since it uses less digits than its factorization.

407161332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11310047 (or 11310042 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 407161332 is about 20178.2390708406. The cubic root of 407161332 is about 741.1774122126.

The spelling of 407161332 in words is "four hundred seven million, one hundred sixty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 11310037 22620074 33930111 45240148 67860222 101790333 135720444 203580666 407161332