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33343434234 = 232111578271297
BaseRepresentation
bin11111000011011011…
…000110110111111010
310012001202112221220200
4133003123012313322
51021241404343414
623152345303030
72260165341345
oct370333066772
9105052487820
1033343434234
1113160554720
126566794a76
1331b4c74156
1418844cd45c
15d0240b109
hex7c36c6dfa

33343434234 has 96 divisors (see below), whose sum is σ = 79470870336. Its totient is φ = 10019842560.

The previous prime is 33343434193. The next prime is 33343434239. The reversal of 33343434234 is 43243434333.

It is a super-2 number, since 2×333434342342 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33343434239) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25707474 + ... + 25708770.

It is an arithmetic number, because the mean of its divisors is an integer number (827821566).

Almost surely, 233343434234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33343434234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39735435168).

33343434234 is an abundant number, since it is smaller than the sum of its proper divisors (46127436102).

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

33343434234 is a wasteful number, since it uses less digits than its factorization.

33343434234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2300 (or 2297 counting only the distinct ones).

The product of its digits is 373248, while the sum is 36.

Adding to 33343434234 its reverse (43243434333), we get a palindrome (76586868567).

Subtracting 33343434234 from its reverse (43243434333), we obtain a palindrome (9900000099).

The spelling of 33343434234 in words is "thirty-three billion, three hundred forty-three million, four hundred thirty-four thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 157 198 314 471 827 942 1297 1413 1654 1727 2481 2594 2826 3454 3891 4962 5181 7443 7782 9097 10362 11673 14267 14886 15543 18194 23346 27291 28534 31086 42801 54582 81873 85602 128403 129839 163746 203629 256806 259678 389517 407258 610887 779034 1072619 1168551 1221774 1428229 1832661 2145238 2239919 2337102 2856458 3217857 3665322 4284687 4479838 6435714 6719757 8569374 9653571 11798809 12854061 13439514 19307142 20159271 23597618 25708122 35396427 40318542 70792854 106189281 168401183 212378562 336802366 505203549 1010407098 1515610647 1852413013 3031221294 3704826026 5557239039 11114478078 16671717117 33343434234