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34266320 = 24511231693
BaseRepresentation
bin1000001010110…
…1110011010000
32101110220112222
42002231303100
532233010240
63222240212
7564154544
oct202556320
971426488
1034266320
1118384880
12b586068
137139b3a
14479da24
15301ceb5
hex20adcd0

34266320 has 80 divisors (see below), whose sum is σ = 90744192. Its totient is φ = 11911680.

The previous prime is 34266289. The next prime is 34266341. The reversal of 34266320 is 2366243.

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

It is a self number, because there is not a number n which added to its sum of digits gives 34266320.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19394 + ... + 21086.

Almost surely, 234266320 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 34266320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45372096).

34266320 is an abundant number, since it is smaller than the sum of its proper divisors (56477872).

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

34266320 is a wasteful number, since it uses less digits than its factorization.

34266320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1740 (or 1734 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

The square root of 34266320 is about 5853.7441010007. The cubic root of 34266320 is about 324.8048374634.

The spelling of 34266320 in words is "thirty-four million, two hundred sixty-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 40 44 46 55 80 88 92 110 115 176 184 220 230 253 368 440 460 506 880 920 1012 1265 1693 1840 2024 2530 3386 4048 5060 6772 8465 10120 13544 16930 18623 20240 27088 33860 37246 38939 67720 74492 77878 93115 135440 148984 155756 186230 194695 297968 311512 372460 389390 428329 623024 744920 778780 856658 1489840 1557560 1713316 2141645 3115120 3426632 4283290 6853264 8566580 17133160 34266320