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3424100 = 225297353
BaseRepresentation
bin1101000011111101100100
320102221222112
431003331210
51334032400
6201220152
741050541
oct15037544
96387875
103424100
111a29639
121191658
1392b6c4
14651bc8
15479835
hex343f64

3424100 has 36 divisors (see below), whose sum is σ = 7528164. Its totient is φ = 1351680.

The previous prime is 3424093. The next prime is 3424103. The reversal of 3424100 is 14243.

It can be written as a sum of positive squares in 6 ways, for example, as 155236 + 3268864 = 394^2 + 1808^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3424103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9524 + ... + 9876.

Almost surely, 23424100 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 3424100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3764082).

3424100 is an abundant number, since it is smaller than the sum of its proper divisors (4104064).

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

3424100 is a wasteful number, since it uses less digits than its factorization.

3424100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 3424100 is about 1850.4323819043. The cubic root of 3424100 is about 150.7239081670.

Adding to 3424100 its reverse (14243), we get a palindrome (3438343).

The spelling of 3424100 in words is "three million, four hundred twenty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 97 100 194 353 388 485 706 970 1412 1765 1940 2425 3530 4850 7060 8825 9700 17650 34241 35300 68482 136964 171205 342410 684820 856025 1712050 3424100