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3434432 = 26103521
BaseRepresentation
bin1101000110011111000000
320110111011012
431012133000
51334400212
6201340052
741122631
oct15063700
96414135
103434432
111a36381
121197628
13933311
14655888
1547c922
hex3467c0

3434432 has 28 divisors (see below), whose sum is σ = 6894576. Its totient is φ = 1697280.

The previous prime is 3434419. The next prime is 3434437. The reversal of 3434432 is 2344343.

It is a happy number.

3434432 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 3434398 and 3434407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3434437) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6332 + ... + 6852.

Almost surely, 23434432 is an apocalyptic number.

3434432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3434432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3447288).

3434432 is an abundant number, since it is smaller than the sum of its proper divisors (3460144).

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

3434432 is a wasteful number, since it uses less digits than its factorization.

3434432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 626 counting only the distinct ones).

The product of its digits is 3456, while the sum is 23.

The square root of 3434432 is about 1853.2220590097. Note that the first 3 decimals coincide. The cubic root of 3434432 is about 150.8753558185.

Adding to 3434432 its reverse (2344343), we get a palindrome (5778775).

The spelling of 3434432 in words is "three million, four hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 103 206 412 521 824 1042 1648 2084 3296 4168 6592 8336 16672 33344 53663 107326 214652 429304 858608 1717216 3434432