Search a number
-
+
33334740 = 22355193
BaseRepresentation
bin111111100101…
…0010111010100
32022201120200000
41333022113110
532013202430
63150251300
7553224555
oct177122724
968646600
1033334740
11178a897a
12b1b6b30
136ba1aca
1445da32c
152dd6e60
hex1fca5d4

33334740 has 144 divisors (see below), whose sum is σ = 110685120. Its totient is φ = 8421408.

The previous prime is 33334733. The next prime is 33334753. The reversal of 33334740 is 4743333.

It is a super-2 number, since 2×333347402 = 2222409781735200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1754451 + ... + 1754469.

Almost surely, 233334740 is an apocalyptic number.

33334740 is a gapful number since it is divisible by the number (30) 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 33334740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55342560).

33334740 is an abundant number, since it is smaller than the sum of its proper divisors (77350380).

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

33334740 is an equidigital number, since it uses as much as digits as its factorization.

33334740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 27.

The square root of 33334740 is about 5773.6245115179. The cubic root of 33334740 is about 321.8343218773.

The spelling of 33334740 in words is "thirty-three million, three hundred thirty-four thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 27 30 36 38 45 54 57 60 76 81 90 95 108 114 135 162 171 180 190 228 243 270 285 324 342 361 380 405 486 513 540 570 684 722 810 855 972 1026 1083 1140 1215 1444 1539 1620 1710 1805 2052 2166 2430 2565 3078 3249 3420 3610 4332 4617 4860 5130 5415 6156 6498 6859 7220 7695 9234 9747 10260 10830 12996 13718 15390 16245 18468 19494 20577 21660 23085 27436 29241 30780 32490 34295 38988 41154 46170 48735 58482 61731 64980 68590 82308 87723 92340 97470 102885 116964 123462 137180 146205 175446 185193 194940 205770 246924 292410 308655 350892 370386 411540 438615 555579 584820 617310 740772 877230 925965 1111158 1234620 1666737 1754460 1851930 2222316 2777895 3333474 3703860 5555790 6666948 8333685 11111580 16667370 33334740