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3342432 = 25337941
BaseRepresentation
bin1100110000000001100000
320021210221210
430300001200
51323424212
6155350120
740260462
oct14600140
96253853
103342432
111983245
121152340
13900492
14630132
1546053c
hex330060

3342432 has 48 divisors (see below), whose sum is σ = 9020592. Its totient is φ = 1082880.

The previous prime is 3342419. The next prime is 3342439. The reversal of 3342432 is 2342433.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×33424322 = 22343703349248, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 3342399 and 3342408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3342439) 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, 3082 + ... + 4022.

It is an arithmetic number, because the mean of its divisors is an integer number (187929).

Almost surely, 23342432 is an apocalyptic number.

3342432 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 3342432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4510296).

3342432 is an abundant number, since it is smaller than the sum of its proper divisors (5678160).

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

3342432 is a wasteful number, since it uses less digits than its factorization.

3342432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 991 (or 983 counting only the distinct ones).

The product of its digits is 1728, while the sum is 21.

The square root of 3342432 is about 1828.2319327700. The cubic root of 3342432 is about 149.5159507669.

Adding to 3342432 its reverse (2342433), we get a palindrome (5684865).

Subtracting from 3342432 its reverse (2342433), we obtain a palindrome (999999).

The spelling of 3342432 in words is "three million, three hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 888 941 1184 1776 1882 2823 3552 3764 5646 7528 11292 15056 22584 30112 34817 45168 69634 90336 104451 139268 208902 278536 417804 557072 835608 1114144 1671216 3342432