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33804216 = 233517389
BaseRepresentation
bin1000000011110…
…0111110111000
32100121102200000
42000330332320
532123213331
63204313000
7560221365
oct200747670
970542600
1033804216
1118099676
12b3a2760
1370076c4
1446bd46c
152e7b0e6
hex203cfb8

33804216 has 48 divisors (see below), whose sum is σ = 94949400. Its totient is φ = 11267424.

The previous prime is 33804193. The next prime is 33804223. The reversal of 33804216 is 61240833.

It is a happy number.

33804216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×338042162 = 2285450038749312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 33804216.

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 11 ways as a sum of consecutive naturals, for example, 6751 + ... + 10638.

Almost surely, 233804216 is an apocalyptic number.

33804216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

33804216 is an abundant number, since it is smaller than the sum of its proper divisors (61145184).

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

33804216 is a wasteful number, since it uses less digits than its factorization.

33804216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17410 (or 17394 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 33804216 is about 5814.1393172163. The cubic root of 33804216 is about 323.3381551223.

The spelling of 33804216 in words is "thirty-three million, eight hundred four thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 972 1944 17389 34778 52167 69556 104334 139112 156501 208668 313002 417336 469503 626004 939006 1252008 1408509 1878012 2817018 3756024 4225527 5634036 8451054 11268072 16902108 33804216