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2964132 = 2232137601
BaseRepresentation
bin1011010011101010100100
312120121000200
423103222210
51224323012
6143310500
734123533
oct13235244
95517020
102964132
111744aa6
12bab430
137ca232
1457231a
153d83dc
hex2d3aa4

2964132 has 36 divisors (see below), whose sum is σ = 7559916. Its totient is φ = 979200.

The previous prime is 2964121. The next prime is 2964151. The reversal of 2964132 is 2314692.

2964132 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 2143296 + 820836 = 1464^2 + 906^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2964096 and 2964105.

It is an unprimeable number.

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, 4632 + ... + 5232.

22964132 is an apocalyptic number.

It is an amenable number.

2964132 is an abundant number, since it is smaller than the sum of its proper divisors (4595784).

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

2964132 is a wasteful number, since it uses less digits than its factorization.

2964132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 743 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 2964132 is about 1721.6654727327. The cubic root of 2964132 is about 143.6478664563.

The spelling of 2964132 in words is "two million, nine hundred sixty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 137 274 411 548 601 822 1202 1233 1644 1803 2404 2466 3606 4932 5409 7212 10818 21636 82337 164674 247011 329348 494022 741033 988044 1482066 2964132