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33044130 = 23257259127
BaseRepresentation
bin111111000001…
…1011010100010
32022011211000200
41332003122202
531424403010
63140130030
7550604400
oct176033242
968154020
1033044130
111771a5a9
12b096916
136acc752
144562470
152d7acc0
hex1f836a2

33044130 has 144 divisors (see below), whose sum is σ = 102435840. Its totient is φ = 7366464.

The previous prime is 33044129. The next prime is 33044131. The reversal of 33044130 is 3144033.

It is an interprime number because it is at equal distance from previous prime (33044129) and next prime (33044131).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33044131) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 260127 + ... + 260253.

It is an arithmetic number, because the mean of its divisors is an integer number (711360).

Almost surely, 233044130 is an apocalyptic number.

33044130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 33044130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51217920).

33044130 is an abundant number, since it is smaller than the sum of its proper divisors (69391710).

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

33044130 is a wasteful number, since it uses less digits than its factorization.

33044130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 33044130 is about 5748.4023867506. The cubic root of 33044130 is about 320.8963475860.

Adding to 33044130 its reverse (3144033), we get a palindrome (36188163).

The spelling of 33044130 in words is "thirty-three million, forty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 59 63 70 90 98 105 118 126 127 147 177 210 245 254 294 295 315 354 381 413 441 490 531 590 630 635 735 762 826 882 885 889 1062 1143 1239 1270 1470 1770 1778 1905 2065 2205 2286 2478 2655 2667 2891 3717 3810 4130 4410 4445 5310 5334 5715 5782 6195 6223 7434 7493 8001 8673 8890 11430 12390 12446 13335 14455 14986 16002 17346 18585 18669 22479 26019 26670 28910 31115 37170 37338 37465 40005 43365 44958 52038 52451 56007 62230 67437 74930 80010 86730 93345 104902 112014 112395 130095 134874 157353 186690 224790 260190 262255 280035 314706 337185 367157 472059 524510 560070 674370 734314 786765 944118 1101471 1573530 1835785 2202942 2360295 3304413 3671570 4720590 5507355 6608826 11014710 16522065 33044130