Search a number
-
+
3429852 = 2231722343
BaseRepresentation
bin1101000101010111011100
320110020212120
431011113130
51334223402
6201302540
741103366
oct15052734
96406776
103429852
111a32998
121194a50
139311ca
14653d36
1547b3bc
hex3455dc

3429852 has 72 divisors (see below), whose sum is σ = 9077376. Its totient is φ = 1005312.

The previous prime is 3429821. The next prime is 3429857. The reversal of 3429852 is 2589243.

It is a happy number.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3429857) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79743 + ... + 79785.

Almost surely, 23429852 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 3429852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4538688).

3429852 is an abundant number, since it is smaller than the sum of its proper divisors (5647524).

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

3429852 is a wasteful number, since it uses less digits than its factorization.

3429852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 88 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 3429852 is about 1851.9859610699. The cubic root of 3429852 is about 150.8082591803.

The spelling of 3429852 in words is "three million, four hundred twenty-nine thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 12 17 23 34 43 46 51 68 69 86 92 102 129 138 172 204 258 276 289 391 516 578 731 782 867 989 1156 1173 1462 1564 1734 1978 2193 2346 2924 2967 3468 3956 4386 4692 5934 6647 8772 11868 12427 13294 16813 19941 24854 26588 33626 37281 39882 49708 50439 67252 74562 79764 100878 149124 201756 285821 571642 857463 1143284 1714926 3429852