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3405961 = 13377397
BaseRepresentation
bin1100111111100010001001
320102001002201
430333202021
51332442321
6201000201
740643626
oct14774211
96361081
103405961
111a16a49
121183061
13923380
1464934d
15474291
hex33f889

3405961 has 16 divisors (see below), whose sum is σ = 3858064. Its totient is φ = 2985984.

The previous prime is 3405953. The next prime is 3405973. The reversal of 3405961 is 1695043.

It can be written as a sum of positive squares in 8 ways, for example, as 5625 + 3400336 = 75^2 + 1844^2 .

It is a 4-Lehmer number, since φ(3405961) divides (3405961-1)4.

It is a cyclic number.

It is not a de Polignac number, because 3405961 - 23 = 3405953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3405931) 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, 35065 + ... + 35161.

It is an arithmetic number, because the mean of its divisors is an integer number (241129).

Almost surely, 23405961 is an apocalyptic number.

It is an amenable number.

3405961 is a deficient number, since it is larger than the sum of its proper divisors (452103).

3405961 is a wasteful number, since it uses less digits than its factorization.

3405961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220.

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 3405961 is about 1845.5245866691. The cubic root of 3405961 is about 150.4572859950.

The spelling of 3405961 in words is "three million, four hundred five thousand, nine hundred sixty-one".

Divisors: 1 13 37 73 97 481 949 1261 2701 3589 7081 35113 46657 92053 261997 3405961