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34334020 = 22571032381
BaseRepresentation
bin1000001011111…
…0010101000100
32101121100102101
42002332111010
532242142040
63223521444
7564556120
oct202762504
971540371
1034334020
1118420726
12b5b9284
1371618b6
1447ba580
15303309a
hex20be544

34334020 has 48 divisors (see below), whose sum is σ = 83236608. Its totient is φ = 11652480.

The previous prime is 34334011. The next prime is 34334051. The reversal of 34334020 is 2043343.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13230 + ... + 15610.

It is an arithmetic number, because the mean of its divisors is an integer number (1734096).

Almost surely, 234334020 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 34334020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41618304).

34334020 is an abundant number, since it is smaller than the sum of its proper divisors (48902588).

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

34334020 is a wasteful number, since it uses less digits than its factorization.

34334020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2500 (or 2498 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 19.

The square root of 34334020 is about 5859.5238714421. The cubic root of 34334020 is about 325.0186024855.

Adding to 34334020 its reverse (2043343), we get a palindrome (36377363).

The spelling of 34334020 in words is "thirty-four million, three hundred thirty-four thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 103 140 206 412 515 721 1030 1442 2060 2381 2884 3605 4762 7210 9524 11905 14420 16667 23810 33334 47620 66668 83335 166670 245243 333340 490486 980972 1226215 1716701 2452430 3433402 4904860 6866804 8583505 17167010 34334020