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34272240 = 2435612341
BaseRepresentation
bin1000001010111…
…1001111110000
32101111012200020
42002233033300
532233202430
63222323440
7564211032
oct202571760
971435606
1034272240
1118389272
12b589580
13713c742
1447a1c52
15301eb10
hex20af3f0

34272240 has 80 divisors (see below), whose sum is σ = 108031776. Its totient is φ = 8985600.

The previous prime is 34272239. The next prime is 34272253. The reversal of 34272240 is 4227243.

34272240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 34272240.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 13470 + ... + 15810.

Almost surely, 234272240 is an apocalyptic number.

34272240 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 34272240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54015888).

34272240 is an abundant number, since it is smaller than the sum of its proper divisors (73759536).

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

34272240 is a wasteful number, since it uses less digits than its factorization.

34272240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2418 (or 2412 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 24.

The square root of 34272240 is about 5854.2497384379. The cubic root of 34272240 is about 324.8235412900.

Adding to 34272240 its reverse (4227243), we get a palindrome (38499483).

The spelling of 34272240 in words is "thirty-four million, two hundred seventy-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 61 80 120 122 183 240 244 305 366 488 610 732 915 976 1220 1464 1830 2341 2440 2928 3660 4682 4880 7023 7320 9364 11705 14046 14640 18728 23410 28092 35115 37456 46820 56184 70230 93640 112368 140460 142801 187280 280920 285602 428403 561840 571204 714005 856806 1142408 1428010 1713612 2142015 2284816 2856020 3427224 4284030 5712040 6854448 8568060 11424080 17136120 34272240