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3906432 = 27323391
BaseRepresentation
bin1110111001101110000000
321100110121200
432321232000
52000001212
6215421200
745130005
oct16715600
97313550
103906432
112228a62
121384800
13a6a0ca
147398ac
155226dc
hex3b9b80

3906432 has 48 divisors (see below), whose sum is σ = 11244480. Its totient is φ = 1301760.

The previous prime is 3906431. The next prime is 3906433. The reversal of 3906432 is 2346093.

3906432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3906431) and next prime (3906433).

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 3906396 and 3906405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3906431) 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 5 ways as a sum of consecutive naturals, for example, 544 + ... + 2847.

It is an arithmetic number, because the mean of its divisors is an integer number (234260).

Almost surely, 23906432 is an apocalyptic number.

3906432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3906432 is an abundant number, since it is smaller than the sum of its proper divisors (7338048).

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

3906432 is a wasteful number, since it uses less digits than its factorization.

3906432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3411 (or 3396 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 3906432 is about 1976.4695798317. The cubic root of 3906432 is about 157.4925771256.

The spelling of 3906432 in words is "three million, nine hundred six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 3391 6782 10173 13564 20346 27128 30519 40692 54256 61038 81384 108512 122076 162768 217024 244152 325536 434048 488304 651072 976608 1302144 1953216 3906432