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3400965 = 32575577
BaseRepresentation
bin1100111110010100000101
320101210020200
430332110011
51332312330
6200521113
740623231
oct14762405
96353220
103400965
111a13217
121180199
13921009
146475c1
15472a60
hex33e505

3400965 has 12 divisors (see below), whose sum is σ = 5895084. Its totient is φ = 1813824.

The previous prime is 3400963. The next prime is 3400993. The reversal of 3400965 is 5690043.

It is a happy number.

3400965 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 986049 + 2414916 = 993^2 + 1554^2 .

It is not a de Polignac number, because 3400965 - 21 = 3400963 is a prime.

3400965 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3400963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37744 + ... + 37833.

It is an arithmetic number, because the mean of its divisors is an integer number (491257).

Almost surely, 23400965 is an apocalyptic number.

It is an amenable number.

3400965 is a deficient number, since it is larger than the sum of its proper divisors (2494119).

3400965 is a wasteful number, since it uses less digits than its factorization.

3400965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75588 (or 75585 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 3400965 is about 1844.1705452588. The cubic root of 3400965 is about 150.3836844051.

The spelling of 3400965 in words is "three million, four hundred thousand, nine hundred sixty-five".

Divisors: 1 3 5 9 15 45 75577 226731 377885 680193 1133655 3400965