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34330311020 = 22517463218081
BaseRepresentation
bin11111111110001111…
…101111100101101100
310021121112112111100202
4133332033233211230
51030302024423040
623434321413032
72323510554215
oct377617574554
9107545474322
1034330311020
1113617624875
1267a119a178
133311568005
1419395c240c
15d5dd99015
hex7fe3ef96c

34330311020 has 48 divisors (see below), whose sum is σ = 76499676288. Its totient is φ = 12896378880.

The previous prime is 34330311011. The next prime is 34330311049. The reversal of 34330311020 is 2011303343.

It is a super-3 number, since 3×343303110203 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 34330310983 and 34330311001.

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, 48380 + ... + 266460.

It is an arithmetic number, because the mean of its divisors is an integer number (1593743256).

Almost surely, 234330311020 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 34330311020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38249838144).

34330311020 is an abundant number, since it is smaller than the sum of its proper divisors (42169365268).

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

34330311020 is a wasteful number, since it uses less digits than its factorization.

34330311020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218570 (or 218568 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 34330311020 its reverse (2011303343), we get a palindrome (36341614363).

The spelling of 34330311020 in words is "thirty-four billion, three hundred thirty million, three hundred eleven thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 463 926 1852 2315 4630 7871 9260 15742 31484 39355 78710 157420 218081 436162 872324 1090405 2180810 3707377 4361620 7414754 14829508 18536885 37073770 74147540 100971503 201943006 403886012 504857515 1009715030 1716515551 2019430060 3433031102 6866062204 8582577755 17165155510 34330311020