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3429500 = 2253193
BaseRepresentation
bin1101000101010001111100
320110020101112
431011101330
51334221000
6201301152
741102354
oct15052174
96406345
103429500
111a326a8
1211947b8
13930cb9
14653b64
1547b235
hex34547c

3429500 has 48 divisors (see below), whose sum is σ = 7906080. Its totient is φ = 1299600.

The previous prime is 3429487. The next prime is 3429509. The reversal of 3429500 is 59243.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

3429500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×34295002 = 23522940500000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3429509) 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 15 ways as a sum of consecutive naturals, for example, 180491 + ... + 180509.

It is an arithmetic number, because the mean of its divisors is an integer number (164710).

Almost surely, 23429500 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 3429500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3953040).

3429500 is an abundant number, since it is smaller than the sum of its proper divisors (4476580).

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

3429500 is an equidigital number, since it uses as much as digits as its factorization.

3429500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 3429500 is about 1851.8909255137. The cubic root of 3429500 is about 150.8030999370.

The spelling of 3429500 in words is "three million, four hundred twenty-nine thousand, five hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 125 190 250 361 380 475 500 722 950 1444 1805 1900 2375 3610 4750 6859 7220 9025 9500 13718 18050 27436 34295 36100 45125 68590 90250 137180 171475 180500 342950 685900 857375 1714750 3429500