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34020 = 223557
BaseRepresentation
bin1000010011100100
31201200000
420103210
52042040
6421300
7201120
oct102344
951600
1034020
1123618
1217830
131263c
14c580
15a130
hex84e4

34020 has 72 divisors (see below), whose sum is σ = 122304. Its totient is φ = 7776.

The previous prime is 34019. The next prime is 34031. The reversal of 34020 is 2043.

Adding to 34020 its reverse (2043), we get a palindrome (36063).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 33993 and 34011.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4857 + ... + 4863.

234020 is an apocalyptic number.

34020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61152).

34020 is an abundant number, since it is smaller than the sum of its proper divisors (88284).

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

34020 is a wasteful number, since it uses less digits than its factorization.

34020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 34020 is about 184.4451137873. The cubic root of 34020 is about 32.4024689477.

The spelling of 34020 in words is "thirty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 243 252 270 315 324 378 405 420 486 540 567 630 756 810 945 972 1134 1215 1260 1620 1701 1890 2268 2430 2835 3402 3780 4860 5670 6804 8505 11340 17010 34020