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34215233 = 1321931049
BaseRepresentation
bin1000001010000…
…1010101000001
32101101022110212
42002201111001
532224341413
63221203505
7563552603
oct202412501
971338425
1034215233
111834a458
12b560595
13711c800
144789173
15300cca8
hex20a1541

34215233 has 12 divisors (see below), whose sum is σ = 37277100. Its totient is φ = 31389696.

The previous prime is 34215211. The next prime is 34215239. The reversal of 34215233 is 33251243.

It can be written as a sum of positive squares in 6 ways, for example, as 2765569 + 31449664 = 1663^2 + 5608^2 .

It is not a de Polignac number, because 34215233 - 218 = 33953089 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34215199 and 34215208.

It is not an unprimeable number, because it can be changed into a prime (34215239) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32093 + ... + 33141.

It is an arithmetic number, because the mean of its divisors is an integer number (3106425).

Almost surely, 234215233 is an apocalyptic number.

It is an amenable number.

34215233 is a deficient number, since it is larger than the sum of its proper divisors (3061867).

34215233 is a wasteful number, since it uses less digits than its factorization.

34215233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1268 (or 1255 counting only the distinct ones).

The product of its digits is 2160, while the sum is 23.

The square root of 34215233 is about 5849.3788559128. The cubic root of 34215233 is about 324.6433420769.

Adding to 34215233 its reverse (33251243), we get a palindrome (67466476).

The spelling of 34215233 in words is "thirty-four million, two hundred fifteen thousand, two hundred thirty-three".

Divisors: 1 13 169 193 1049 2509 13637 32617 177281 202457 2631941 34215233