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34443201 = 313312919
BaseRepresentation
bin1000001101100…
…0111111000001
32101210220012010
42003120333001
532304140301
63230123133
7565522332
oct203307701
971726163
1034443201
1118495761
12b6504a9
13719c4c0
144808289
1530555d6
hex20d8fc1

34443201 has 24 divisors (see below), whose sum is σ = 51159360. Its totient is φ = 20489760.

The previous prime is 34443169. The next prime is 34443229. The reversal of 34443201 is 10234443.

It is not a de Polignac number, because 34443201 - 25 = 34443169 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34443281) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37020 + ... + 37938.

It is an arithmetic number, because the mean of its divisors is an integer number (2131640).

Almost surely, 234443201 is an apocalyptic number.

34443201 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

34443201 is a deficient number, since it is larger than the sum of its proper divisors (16716159).

34443201 is a wasteful number, since it uses less digits than its factorization.

34443201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 997 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 34443201 is about 5868.8330185821. The cubic root of 34443201 is about 325.3627539301.

Adding to 34443201 its reverse (10234443), we get a palindrome (44677644).

The spelling of 34443201 in words is "thirty-four million, four hundred forty-three thousand, two hundred one".

Divisors: 1 3 13 31 39 93 403 919 961 1209 2757 2883 11947 12493 28489 35841 37479 85467 370357 883159 1111071 2649477 11481067 34443201