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33424321 = 7413921
BaseRepresentation
bin111111110000…
…0001111000001
32022220010112211
41333200033001
532024034241
63152222121
7554050000
oct177401701
968803484
1033424321
111795a207
12b23a941
136c03808
144620c37
152e03781
hex1fe03c1

33424321 has 10 divisors (see below), whose sum is σ = 38995522. Its totient is φ = 28647360.

The previous prime is 33424309. The next prime is 33424337. The reversal of 33424321 is 12342433.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 29582721 + 3841600 = 5439^2 + 1960^2 .

It is not a de Polignac number, because 33424321 - 25 = 33424289 is a prime.

It is a super-2 number, since 2×334243212 = 2234370468622082, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 33424292 and 33424301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33424351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4560 + ... + 9361.

Almost surely, 233424321 is an apocalyptic number.

It is an amenable number.

33424321 is a deficient number, since it is larger than the sum of its proper divisors (5571201).

33424321 is an frugal number, since it uses more digits than its factorization.

33424321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13949 (or 13928 counting only the distinct ones).

The product of its digits is 1728, while the sum is 22.

The square root of 33424321 is about 5781.3770850897. The cubic root of 33424321 is about 322.1223542578.

Adding to 33424321 its reverse (12342433), we get a palindrome (45766754).

It can be divided in two parts, 3342432 and 1, that added together give a palindrome (3342433).

The spelling of 33424321 in words is "thirty-three million, four hundred twenty-four thousand, three hundred twenty-one".

Divisors: 1 7 49 343 2401 13921 97447 682129 4774903 33424321