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3429936 = 243223819
BaseRepresentation
bin1101000101011000110000
320110020222200
431011120300
51334224221
6201303200
741103546
oct15053060
96406880
103429936
111a32a64
121194b00
13931263
14653d96
1547b426
hex345630

3429936 has 30 divisors (see below), whose sum is σ = 9599460. Its totient is φ = 1143264.

The previous prime is 3429901. The next prime is 3429961. The reversal of 3429936 is 6399243.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 3429936.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11766 + ... + 12053.

It is an arithmetic number, because the mean of its divisors is an integer number (319982).

Almost surely, 23429936 is an apocalyptic number.

3429936 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3429936 is an abundant number, since it is smaller than the sum of its proper divisors (6169524).

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

3429936 is a wasteful number, since it uses less digits than its factorization.

3429936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23833 (or 23824 counting only the distinct ones).

The product of its digits is 34992, while the sum is 36.

The square root of 3429936 is about 1852.0086392887. The cubic root of 3429936 is about 150.8094903112.

The spelling of 3429936 in words is "three million, four hundred twenty-nine thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 23819 47638 71457 95276 142914 190552 214371 285828 381104 428742 571656 857484 1143312 1714968 3429936