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3406006432 = 25601177101
BaseRepresentation
bin1100101100000011…
…1000100010100000
322210101000001110101
43023000320202200
523433414201212
61321550312144
7150255401623
oct31300704240
98711001411
103406006432
111498669054
127b07b8654
13423849a2a
142444d1dba
1514e042157
hexcb0388a0

3406006432 has 24 divisors (see below), whose sum is σ = 6716770452. Its totient is φ = 1700160000.

The previous prime is 3406006427. The next prime is 3406006433. The reversal of 3406006432 is 2346006043.

It can be written as a sum of positive squares in 2 ways, for example, as 3405422736 + 583696 = 58356^2 + 764^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3406006432.

It is not an unprimeable number, because it can be changed into a prime (3406006433) 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 3 ways as a sum of consecutive naturals, for example, 69319 + ... + 107782.

Almost surely, 23406006432 is an apocalyptic number.

3406006432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3406006432 is a deficient number, since it is larger than the sum of its proper divisors (3310764020).

3406006432 is a wasteful number, since it uses less digits than its factorization.

3406006432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177712 (or 177704 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

The square root of 3406006432 is about 58361.0009509775. Note that the first 3 decimals coincide. The cubic root of 3406006432 is about 1504.5795497356.

The spelling of 3406006432 in words is "three billion, four hundred six million, six thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 601 1202 2404 4808 9616 19232 177101 354202 708404 1416808 2833616 5667232 106437701 212875402 425750804 851501608 1703003216 3406006432