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34030020 = 2235599613
BaseRepresentation
bin1000000111010…
…0000111000100
32101000220102010
42001310013010
532202430040
63213214220
7562151613
oct201640704
971026363
1034030020
1118233292
12b491370
13708640b
14473b87a
152ec2e80
hex20741c4

34030020 has 48 divisors (see below), whose sum is σ = 96909120. Its totient is φ = 8919936.

The previous prime is 34029997. The next prime is 34030043. The reversal of 34030020 is 2003043.

It is an interprime number because it is at equal distance from previous prime (34029997) and next prime (34030043).

It is a super-2 number, since 2×340300202 = 2316084522400800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 34029978 and 34030005.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1267 + ... + 8346.

It is an arithmetic number, because the mean of its divisors is an integer number (2018940).

Almost surely, 234030020 is an apocalyptic number.

34030020 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 34030020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48454560).

34030020 is an abundant number, since it is smaller than the sum of its proper divisors (62879100).

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

34030020 is a wasteful number, since it uses less digits than its factorization.

34030020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9684 (or 9682 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 34030020 is about 5833.5255206436. The cubic root of 34030020 is about 324.0564983016.

Adding to 34030020 its reverse (2003043), we get a palindrome (36033063).

The spelling of 34030020 in words is "thirty-four million, thirty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 59 60 118 177 236 295 354 590 708 885 1180 1770 3540 9613 19226 28839 38452 48065 57678 96130 115356 144195 192260 288390 567167 576780 1134334 1701501 2268668 2835835 3403002 5671670 6806004 8507505 11343340 17015010 34030020