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34534344 = 23313172383
BaseRepresentation
bin1000001110111…
…1001111001000
32101222112012210
42003233033020
532320044334
63232105120
7566352135
oct203571710
971875183
1034534344
1118548189
12b6951a0
137201b30
14482d58c
1530725e9
hex20ef3c8

34534344 has 96 divisors (see below), whose sum is σ = 99025920. Its totient is φ = 9974784.

The previous prime is 34534307. The next prime is 34534349. The reversal of 34534344 is 44343543.

34534344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (34534349) 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 23 ways as a sum of consecutive naturals, for example, 89977 + ... + 90359.

It is an arithmetic number, because the mean of its divisors is an integer number (1031520).

Almost surely, 234534344 is an apocalyptic number.

34534344 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34534344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49512960).

34534344 is an abundant number, since it is smaller than the sum of its proper divisors (64491576).

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

34534344 is a wasteful number, since it uses less digits than its factorization.

34534344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 418 counting only the distinct ones).

The product of its digits is 34560, while the sum is 30.

The square root of 34534344 is about 5876.5928904426. The cubic root of 34534344 is about 325.6494909145.

Adding to 34534344 its reverse (44343543), we get a palindrome (78877887).

The spelling of 34534344 in words is "thirty-four million, five hundred thirty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 39 51 52 68 78 102 104 136 156 204 221 289 312 383 408 442 578 663 766 867 884 1149 1156 1326 1532 1734 1768 2298 2312 2652 3064 3468 3757 4596 4979 5304 6511 6936 7514 9192 9958 11271 13022 14937 15028 19533 19916 22542 26044 29874 30056 39066 39832 45084 52088 59748 78132 84643 90168 110687 119496 156264 169286 221374 253929 332061 338572 442748 507858 664122 677144 885496 1015716 1328244 1438931 2031432 2656488 2877862 4316793 5755724 8633586 11511448 17267172 34534344