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34048323 = 3319312141
BaseRepresentation
bin1000000111100…
…0100101000011
32101001211112000
42001320211003
532204021243
63213435043
7562256151
oct201704503
971054460
1034048323
1118246011
12b49ba83
13709184a
1447443d1
152ec85d3
hex2078943

34048323 has 32 divisors (see below), whose sum is σ = 54835200. Its totient is φ = 20800800.

The previous prime is 34048277. The next prime is 34048337. The reversal of 34048323 is 32384043.

It is not a de Polignac number, because 34048323 - 214 = 34031939 is a prime.

It is a super-2 number, since 2×340483232 = 2318576598224658, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (34048373) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14833 + ... + 16973.

It is an arithmetic number, because the mean of its divisors is an integer number (1713600).

Almost surely, 234048323 is an apocalyptic number.

34048323 is a deficient number, since it is larger than the sum of its proper divisors (20786877).

34048323 is a wasteful number, since it uses less digits than its factorization.

34048323 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2200 (or 2194 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 34048323 is about 5835.0940866450. The cubic root of 34048323 is about 324.1145856712.

The spelling of 34048323 in words is "thirty-four million, forty-eight thousand, three hundred twenty-three".

Divisors: 1 3 9 19 27 31 57 93 171 279 513 589 837 1767 2141 5301 6423 15903 19269 40679 57807 66371 122037 199113 366111 597339 1098333 1261049 1792017 3783147 11349441 34048323