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3422900 = 2252132633
BaseRepresentation
bin1101000011101010110100
320102220100002
431003222310
51334013100
6201210432
741044205
oct15035264
96386302
103422900
111a28748
121190a18
1392acb0
146515ac
154792d5
hex343ab4

3422900 has 36 divisors (see below), whose sum is σ = 8002092. Its totient is φ = 1263360.

The previous prime is 3422813. The next prime is 3422917. The reversal of 3422900 is 92243.

3422900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 850084 + 2572816 = 922^2 + 1604^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 17 + ... + 2616.

Almost surely, 23422900 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 3422900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4001046).

3422900 is an abundant number, since it is smaller than the sum of its proper divisors (4579192).

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

3422900 is a wasteful number, since it uses less digits than its factorization.

3422900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2660 (or 2653 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 3422900 is about 1850.1081049495. The cubic root of 3422900 is about 150.7062986908.

The spelling of 3422900 in words is "three million, four hundred twenty-two thousand, nine hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 2633 5266 10532 13165 26330 34229 52660 65825 68458 131650 136916 171145 263300 342290 684580 855725 1711450 3422900