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34083924 = 22371992039
BaseRepresentation
bin1000001000000…
…1010001010100
32101010122100120
42002001101110
532211141144
63214311540
7562465020
oct202012124
971118316
1034083924
111826a836
12b4b85b0
1370a4b04
144753380
152ed3e19
hex2081454

34083924 has 48 divisors (see below), whose sum is σ = 91392000. Its totient is φ = 9684576.

The previous prime is 34083923. The next prime is 34083937. The reversal of 34083924 is 42938043.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34083923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15697 + ... + 17735.

It is an arithmetic number, because the mean of its divisors is an integer number (1904000).

Almost surely, 234083924 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34083924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45696000).

34083924 is an abundant number, since it is smaller than the sum of its proper divisors (57308076).

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

34083924 is a wasteful number, since it uses less digits than its factorization.

34083924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2252 (or 2250 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 34083924 is about 5838.1438831190. The cubic root of 34083924 is about 324.2275112920.

The spelling of 34083924 in words is "thirty-four million, eighty-three thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 199 398 597 796 1194 1393 2039 2388 2786 4078 4179 5572 6117 8156 8358 12234 14273 16716 24468 28546 42819 57092 85638 171276 405761 811522 1217283 1623044 2434566 2840327 4869132 5680654 8520981 11361308 17041962 34083924