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34305240 = 23351272251
BaseRepresentation
bin1000001011011…
…1010011011000
32101112212221110
42002313103120
532240231430
63223140320
7564406164
oct202672330
971485843
1034305240
1118401042
12b5a46a0
137151778
1447adca4
1530297b0
hex20b74d8

34305240 has 64 divisors (see below), whose sum is σ = 103772160. Its totient is φ = 9072000.

The previous prime is 34305221. The next prime is 34305247. The reversal of 34305240 is 4250343.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34305247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14115 + ... + 16365.

It is an arithmetic number, because the mean of its divisors is an integer number (1621440).

Almost surely, 234305240 is an apocalyptic number.

34305240 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 34305240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51886080).

34305240 is an abundant number, since it is smaller than the sum of its proper divisors (69466920).

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

34305240 is a wasteful number, since it uses less digits than its factorization.

34305240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2392 (or 2388 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 34305240 is about 5857.0675256480. The cubic root of 34305240 is about 324.9277630380.

Adding to 34305240 its reverse (4250343), we get a palindrome (38555583).

The spelling of 34305240 in words is "thirty-four million, three hundred five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 127 254 381 508 635 762 1016 1270 1524 1905 2251 2540 3048 3810 4502 5080 6753 7620 9004 11255 13506 15240 18008 22510 27012 33765 45020 54024 67530 90040 135060 270120 285877 571754 857631 1143508 1429385 1715262 2287016 2858770 3430524 4288155 5717540 6861048 8576310 11435080 17152620 34305240