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3429432 = 233315877
BaseRepresentation
bin1101000101010000111000
320110020022000
431011100320
51334220212
6201301000
741102226
oct15052070
96406260
103429432
111a32646
121194760
13930c66
14653b16
1547b1dc
hex345438

3429432 has 32 divisors (see below), whose sum is σ = 9526800. Its totient is φ = 1143072.

The previous prime is 3429431. The next prime is 3429451. The reversal of 3429432 is 2349243.

It is a happy number.

It is a super-2 number, since 2×34294322 = 23522007685248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 = 3429396 and 3429405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3429431) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7723 + ... + 8154.

Almost surely, 23429432 is an apocalyptic number.

It is an amenable number.

3429432 is an abundant number, since it is smaller than the sum of its proper divisors (6097368).

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

3429432 is a wasteful number, since it uses less digits than its factorization.

3429432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15892 (or 15882 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 3429432 is about 1851.8725658101. The cubic root of 3429432 is about 150.8021032243.

The spelling of 3429432 in words is "three million, four hundred twenty-nine thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 15877 31754 47631 63508 95262 127016 142893 190524 285786 381048 428679 571572 857358 1143144 1714716 3429432