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34526340 = 22325832311
BaseRepresentation
bin1000001110110…
…1010010000100
32101222010020100
42003231102010
532314320330
63232004100
7566316612
oct203552204
971863210
1034526340
1118542172
12b690630
1371cb2b4
14482a6b2
153070060
hex20ed484

34526340 has 72 divisors (see below), whose sum is σ = 106037568. Its totient is φ = 9092160.

The previous prime is 34526339. The next prime is 34526357. The reversal of 34526340 is 4362543.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13785 + ... + 16095.

It is an arithmetic number, because the mean of its divisors is an integer number (1472744).

Almost surely, 234526340 is an apocalyptic number.

34526340 is a gapful number since it is divisible by the number (30) 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 34526340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53018784).

34526340 is an abundant number, since it is smaller than the sum of its proper divisors (71511228).

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

34526340 is a wasteful number, since it uses less digits than its factorization.

34526340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2409 (or 2404 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 34526340 is about 5875.9118441311. The cubic root of 34526340 is about 325.6243304547.

Adding to 34526340 its reverse (4362543), we get a palindrome (38888883).

The spelling of 34526340 in words is "thirty-four million, five hundred twenty-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 83 90 166 180 249 332 415 498 747 830 996 1245 1494 1660 2311 2490 2988 3735 4622 4980 6933 7470 9244 11555 13866 14940 20799 23110 27732 34665 41598 46220 69330 83196 103995 138660 191813 207990 383626 415980 575439 767252 959065 1150878 1726317 1918130 2301756 2877195 3452634 3836260 5754390 6905268 8631585 11508780 17263170 34526340