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3429520 = 245163263
BaseRepresentation
bin1101000101010010010000
320110020102021
431011102100
51334221040
6201301224
741102413
oct15052220
96406367
103429520
111a32716
121194814
13931003
14653b7a
1547b24a
hex345490

3429520 has 40 divisors (see below), whose sum is σ = 8053056. Its totient is φ = 1358208.

The previous prime is 3429509. The next prime is 3429523. The reversal of 3429520 is 259243.

It is a happy number.

3429520 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (3429523) 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, 12909 + ... + 13171.

Almost surely, 23429520 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3429520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4026528).

3429520 is an abundant number, since it is smaller than the sum of its proper divisors (4623536).

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

3429520 is a wasteful number, since it uses less digits than its factorization.

3429520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 3429520 is about 1851.8963253919. The cubic root of 3429520 is about 150.8033930853.

The spelling of 3429520 in words is "three million, four hundred twenty-nine thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 163 263 326 526 652 815 1052 1304 1315 1630 2104 2608 2630 3260 4208 5260 6520 10520 13040 21040 42869 85738 171476 214345 342952 428690 685904 857380 1714760 3429520