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3422432 = 251319433
BaseRepresentation
bin1101000011100011100000
320102212200202
431003203200
51334004212
6201204332
741042636
oct15034340
96385622
103422432
111a28362
1211906a8
1392aa10
14651356
154790c2
hex3438e0

3422432 has 48 divisors (see below), whose sum is σ = 7655760. Its totient is φ = 1492992.

The previous prime is 3422429. The next prime is 3422437. The reversal of 3422432 is 2342243.

3422432 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3422437) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7688 + ... + 8120.

It is an arithmetic number, because the mean of its divisors is an integer number (159495).

Almost surely, 23422432 is an apocalyptic number.

3422432 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 3422432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3827880).

3422432 is an abundant number, since it is smaller than the sum of its proper divisors (4233328).

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

3422432 is a wasteful number, since it uses less digits than its factorization.

3422432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 467 counting only the distinct ones).

The product of its digits is 1152, while the sum is 20.

The square root of 3422432 is about 1849.9816215303. The cubic root of 3422432 is about 150.6994298795.

Adding to 3422432 its reverse (2342243), we get a palindrome (5764675).

It can be divided in two parts, 342243 and 2, that multiplied together give a palindrome (684486).

The spelling of 3422432 in words is "three million, four hundred twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 76 104 152 208 247 304 416 433 494 608 866 988 1732 1976 3464 3952 5629 6928 7904 8227 11258 13856 16454 22516 32908 45032 65816 90064 106951 131632 180128 213902 263264 427804 855608 1711216 3422432