[go: up one dir, main page]

Search a number
-
+
33034540 = 225711191129
BaseRepresentation
bin111111000000…
…1000100101100
32022011022212111
41332001010230
531424101130
63140013404
7550534420
oct176010454
968138774
1033034540
1117713380
12b091264
136ac8286
14455cb80
152d7802a
hex1f8112c

33034540 has 96 divisors (see below), whose sum is σ = 91123200. Its totient is φ = 9745920.

The previous prime is 33034531. The next prime is 33034571. The reversal of 33034540 is 4543033.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 28696 + ... + 29824.

It is an arithmetic number, because the mean of its divisors is an integer number (949200).

Almost surely, 233034540 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 33034540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45561600).

33034540 is an abundant number, since it is smaller than the sum of its proper divisors (58088660).

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

33034540 is a wasteful number, since it uses less digits than its factorization.

33034540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1175 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 22.

The square root of 33034540 is about 5747.5681814138. The cubic root of 33034540 is about 320.8653012879.

Adding to 33034540 its reverse (4543033), we get a palindrome (37577573).

The spelling of 33034540 in words is "thirty-three million, thirty-four thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 11 14 19 20 22 28 35 38 44 55 70 76 77 95 110 133 140 154 190 209 220 266 308 380 385 418 532 665 770 836 1045 1129 1330 1463 1540 2090 2258 2660 2926 4180 4516 5645 5852 7315 7903 11290 12419 14630 15806 21451 22580 24838 29260 31612 39515 42902 49676 62095 79030 85804 86933 107255 124190 150157 158060 173866 214510 235961 248380 300314 347732 429020 434665 471922 600628 750785 869330 943844 1179805 1501570 1651727 1738660 2359610 3003140 3303454 4719220 6606908 8258635 16517270 33034540