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34236240 = 2435294919
BaseRepresentation
bin1000001010011…
…0011101010000
32101102101021220
42002212131100
532231024430
63221445040
7564001053
oct202463520
971371256
1034236240
1118364215
12b570780
13712923c
144792a9a
153014110
hex20a6750

34236240 has 80 divisors (see below), whose sum is σ = 109814400. Its totient is φ = 8813056.

The previous prime is 34236229. The next prime is 34236287. The reversal of 34236240 is 4263243.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 34236240.

It is a congruent 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, 4501 + ... + 9419.

It is an arithmetic number, because the mean of its divisors is an integer number (1372680).

Almost surely, 234236240 is an apocalyptic number.

34236240 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 34236240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54907200).

34236240 is an abundant number, since it is smaller than the sum of its proper divisors (75578160).

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

34236240 is a wasteful number, since it uses less digits than its factorization.

34236240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4964 (or 4958 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 34236240 is about 5851.1742411246. The cubic root of 34236240 is about 324.7097685080.

Adding to 34236240 its reverse (4263243), we get a palindrome (38499483).

The spelling of 34236240 in words is "thirty-four million, two hundred thirty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 80 87 116 120 145 174 232 240 290 348 435 464 580 696 870 1160 1392 1740 2320 3480 4919 6960 9838 14757 19676 24595 29514 39352 49190 59028 73785 78704 98380 118056 142651 147570 196760 236112 285302 295140 393520 427953 570604 590280 713255 855906 1141208 1180560 1426510 1711812 2139765 2282416 2853020 3423624 4279530 5706040 6847248 8559060 11412080 17118120 34236240