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4334311020 = 22351339713997
BaseRepresentation
bin1000000100101100…
…00101011001101100
3102012001202210221210
410002112011121230
532334040423040
61554031154420
7212260015164
oct40226053154
912161683853
104334311020
111924673026
12a0b675a10
13540c737a0
142d18d95a4
151a57b0480
hex10258566c

4334311020 has 96 divisors (see below), whose sum is σ = 13103471808. Its totient is φ = 1064143872.

The previous prime is 4334310997. The next prime is 4334311021. The reversal of 4334311020 is 201134334.

It is not an unprimeable number, because it can be changed into a prime (4334311021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 302662 + ... + 316658.

It is an arithmetic number, because the mean of its divisors is an integer number (136494498).

Almost surely, 24334311020 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 4334311020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6551735904).

4334311020 is an abundant number, since it is smaller than the sum of its proper divisors (8769160788).

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

4334311020 is a wasteful number, since it uses less digits than its factorization.

4334311020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14419 (or 14417 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 4334311020 is about 65835.4845049385. The cubic root of 4334311020 is about 1630.4470175478.

Adding to 4334311020 its reverse (201134334), we get a palindrome (4535445354).

The spelling of 4334311020 in words is "four billion, three hundred thirty-four million, three hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 397 780 794 1191 1588 1985 2382 3970 4764 5161 5955 7940 10322 11910 13997 15483 20644 23820 25805 27994 30966 41991 51610 55988 61932 69985 77415 83982 103220 139970 154830 167964 181961 209955 279940 309660 363922 419910 545883 727844 839820 909805 1091766 1819610 2183532 2729415 3639220 5458830 5556809 10917660 11113618 16670427 22227236 27784045 33340854 55568090 66681708 72238517 83352135 111136180 144477034 166704270 216715551 288954068 333408540 361192585 433431102 722385170 866862204 1083577755 1444770340 2167155510 4334311020