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34338440 = 23571107113
BaseRepresentation
bin1000001011111…
…1011010001000
32101121120111002
42002333122020
532242312230
63223554132
7564605033
oct202773210
971546432
1034338440
1118423a84
12b5bb948
137163906
1447bc01a
153034545
hex20bf688

34338440 has 64 divisors (see below), whose sum is σ = 79781760. Its totient is φ = 13296640.

The previous prime is 34338439. The next prime is 34338461. The reversal of 34338440 is 4483343.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 303824 + ... + 303936.

It is an arithmetic number, because the mean of its divisors is an integer number (1246590).

Almost surely, 234338440 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 34338440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39890880).

34338440 is an abundant number, since it is smaller than the sum of its proper divisors (45443320).

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

34338440 is a wasteful number, since it uses less digits than its factorization.

34338440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

The square root of 34338440 is about 5859.9010230549. The cubic root of 34338440 is about 325.0325490083.

It can be divided in two parts, 343 and 38440, that added together give a palindrome (38783).

The spelling of 34338440 in words is "thirty-four million, three hundred thirty-eight thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 71 107 113 142 214 226 284 355 428 452 535 565 568 710 856 904 1070 1130 1420 2140 2260 2840 4280 4520 7597 8023 12091 15194 16046 24182 30388 32092 37985 40115 48364 60455 60776 64184 75970 80230 96728 120910 151940 160460 241820 303880 320920 483640 858461 1716922 3433844 4292305 6867688 8584610 17169220 34338440