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33134080 = 2957432
BaseRepresentation
bin111111001100…
…1011000000000
32022100101102011
41332121120000
531440242310
63142102304
7551430550
oct176313000
968311364
1033134080
1117781141
12b11a994
136b31685
144587160
152d9778a
hex1f99600

33134080 has 120 divisors (see below), whose sum is σ = 92953872. Its totient is φ = 11096064.

The previous prime is 33134051. The next prime is 33134083. The reversal of 33134080 is 8043133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33134083) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 770539 + ... + 770581.

Almost surely, 233134080 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 33134080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46476936).

33134080 is an abundant number, since it is smaller than the sum of its proper divisors (59819792).

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

33134080 is an frugal number, since it uses more digits than its factorization.

33134080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 33134080 is about 5756.2209825544. The cubic root of 33134080 is about 321.1872562893.

The spelling of 33134080 in words is "thirty-three million, one hundred thirty-four thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 43 56 64 70 80 86 112 128 140 160 172 215 224 256 280 301 320 344 430 448 512 560 602 640 688 860 896 1120 1204 1280 1376 1505 1720 1792 1849 2240 2408 2560 2752 3010 3440 3584 3698 4480 4816 5504 6020 6880 7396 8960 9245 9632 11008 12040 12943 13760 14792 17920 18490 19264 22016 24080 25886 27520 29584 36980 38528 48160 51772 55040 59168 64715 73960 77056 96320 103544 110080 118336 129430 147920 154112 192640 207088 236672 258860 295840 385280 414176 473344 517720 591680 770560 828352 946688 1035440 1183360 1656704 2070880 2366720 3313408 4141760 4733440 6626816 8283520 16567040 33134080