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321344424 = 23324463117
BaseRepresentation
bin10011001001110…
…101001110101000
3211101122222200100
4103021311032220
51124231010144
651515305400
710651245132
oct2311651650
9741588610
10321344424
11155432905
128b74b260
135176213b
143096c052
151d328269
hex132753a8

321344424 has 24 divisors (see below), whose sum is σ = 870308010. Its totient is φ = 107114784.

The previous prime is 321344423. The next prime is 321344437. The reversal of 321344424 is 424443123.

It is a happy number.

321344424 is a `hidden beast` number, since 3 + 213 + 4 + 442 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 265364100 + 55980324 = 16290^2 + 7482^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is not an unprimeable number, because it can be changed into a prime (321344423) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2231487 + ... + 2231630.

Almost surely, 2321344424 is an apocalyptic number.

It is an amenable number.

321344424 is an abundant number, since it is smaller than the sum of its proper divisors (548963586).

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

321344424 is a wasteful number, since it uses less digits than its factorization.

321344424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4463129 (or 4463122 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

The square root of 321344424 is about 17926.0822267444. The cubic root of 321344424 is about 684.9469289518.

Adding to 321344424 its reverse (424443123), we get a palindrome (745787547).

The spelling of 321344424 in words is "three hundred twenty-one million, three hundred forty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 4463117 8926234 13389351 17852468 26778702 35704936 40168053 53557404 80336106 107114808 160672212 321344424