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34433323002 = 23213198778831
BaseRepresentation
bin100000000100011000…
…101100111111111010
310021212201101001020100
4200010120230333322
51031004412314002
623452441340230
72326201262541
oct400430547772
9107781331210
1034433323002
111366a793241
12680b797676
1333299c4750
141949159158
15d67e4611c
hex80462cffa

34433323002 has 96 divisors (see below), whose sum is σ = 84679096320. Its totient is φ = 10024663680.

The previous prime is 34433322997. The next prime is 34433323009. The reversal of 34433323002 is 20032333443.

It is not an unprimeable number, because it can be changed into a prime (34433323009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3894727 + ... + 3903557.

It is an arithmetic number, because the mean of its divisors is an integer number (882073920).

Almost surely, 234433323002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34433323002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42339548160).

34433323002 is an abundant number, since it is smaller than the sum of its proper divisors (50245773318).

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

34433323002 is a wasteful number, since it uses less digits than its factorization.

34433323002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9748 (or 9745 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 27.

Adding to 34433323002 its reverse (20032333443), we get a palindrome (54465656445).

It can be divided in two parts, 34433 and 323002, that added together give a triangular number (357435 = T845).

The spelling of 34433323002 in words is "thirty-four billion, four hundred thirty-three million, three hundred twenty-three thousand, two".

Divisors: 1 2 3 6 9 13 18 19 26 38 39 57 78 114 117 171 234 247 342 494 741 877 1482 1754 2223 2631 4446 5262 7893 8831 11401 15786 16663 17662 22802 26493 33326 34203 49989 52986 68406 79479 99978 102609 114803 149967 158958 167789 205218 216619 229606 299934 335578 344409 433238 503367 649857 688818 1006734 1033227 1299714 1510101 1949571 2066454 2181257 3020202 3899142 4362514 6543771 7744787 13087542 15489574 19631313 23234361 39262626 46468722 69703083 100682231 139406166 147150953 201364462 294301906 302046693 441452859 604093386 882905718 906140079 1324358577 1812280158 1912962389 2648717154 3825924778 5738887167 11477774334 17216661501 34433323002