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33874190 = 257273947
BaseRepresentation
bin1000000100111…
…0000100001110
32100201222122122
42001032010032
532132433230
63210012542
7560632400
oct201160416
970658578
1033874190
11181371a9
12b417152
1370304cc
1446dab70
152e91be5
hex204e10e

33874190 has 48 divisors (see below), whose sum is σ = 71975952. Its totient is φ = 11442816.

The previous prime is 33874189. The next prime is 33874199. The reversal of 33874190 is 9147833.

It is a super-2 number, since 2×338741902 = 2294921496312200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 33874190.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33874199) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35297 + ... + 36243.

It is an arithmetic number, because the mean of its divisors is an integer number (1499499).

Almost surely, 233874190 is an apocalyptic number.

33874190 is an abundant number, since it is smaller than the sum of its proper divisors (38101762).

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

33874190 is a wasteful number, since it uses less digits than its factorization.

33874190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 33874190 is about 5820.1537780371. The cubic root of 33874190 is about 323.5611023697.

The spelling of 33874190 in words is "thirty-three million, eight hundred seventy-four thousand, one hundred ninety".

Divisors: 1 2 5 7 10 14 35 49 70 73 98 146 245 365 490 511 730 947 1022 1894 2555 3577 4735 5110 6629 7154 9470 13258 17885 33145 35770 46403 66290 69131 92806 138262 232015 345655 464030 483917 691310 967834 2419585 3387419 4839170 6774838 16937095 33874190