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33380856 = 233329732
BaseRepresentation
bin111111101010…
…1100111111000
32022210220221000
41333111213320
532021141411
63151245000
7553506165
oct177254770
968726830
1033380856
111792a593
12b219760
136bb9ab2
14460d06c
152de5956
hex1fd59f8

33380856 has 96 divisors (see below), whose sum is σ = 97254000. Its totient is φ = 10596096.

The previous prime is 33380849. The next prime is 33380873. The reversal of 33380856 is 65808333.

It is a super-2 number, since 2×333808562 = 2228563094585472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 33380856.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 457236 + ... + 457308.

Almost surely, 233380856 is an apocalyptic number.

33380856 is a gapful number since it is divisible by the number (36) 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 33380856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48627000).

33380856 is an abundant number, since it is smaller than the sum of its proper divisors (63873144).

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

33380856 is a wasteful number, since it uses less digits than its factorization.

33380856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 33380856 is about 5777.6168097235. The cubic root of 33380856 is about 321.9826643445.

The spelling of 33380856 in words is "thirty-three million, three hundred eighty thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 73 87 108 116 146 174 216 219 232 261 292 348 438 522 584 657 696 783 876 1044 1314 1566 1752 1971 2088 2117 2628 3132 3942 4234 5256 5329 6264 6351 7884 8468 10658 12702 15768 15987 16936 19053 21316 25404 31974 38106 42632 47961 50808 57159 63948 76212 95922 114318 127896 143883 152424 154541 191844 228636 287766 309082 383688 457272 463623 575532 618164 927246 1151064 1236328 1390869 1854492 2781738 3708984 4172607 5563476 8345214 11126952 16690428 33380856