Search a number
-
+
33274440 = 23325175437
BaseRepresentation
bin111111011101…
…1101001001000
32022121111221200
41332323221020
532004240230
63145104200
7552554013
oct176735110
968544850
1033274440
1117867641
12b188060
136b80524
1445c237a
152dc4160
hex1fbba48

33274440 has 96 divisors (see below), whose sum is σ = 114524280. Its totient is φ = 8349696.

The previous prime is 33274429. The next prime is 33274469. The reversal of 33274440 is 4447233.

It can be written as a sum of positive squares in 4 ways, for example, as 30669444 + 2604996 = 5538^2 + 1614^2 .

It is a super-2 number, since 2×332744402 = 2214376714627200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3402 + ... + 8838.

Almost surely, 233274440 is an apocalyptic number.

33274440 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 33274440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57262140).

33274440 is an abundant number, since it is smaller than the sum of its proper divisors (81249840).

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

33274440 is a wasteful number, since it uses less digits than its factorization.

33274440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5471 (or 5464 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 27.

The square root of 33274440 is about 5768.4001248180. The cubic root of 33274440 is about 321.6401468407.

The spelling of 33274440 in words is "thirty-three million, two hundred seventy-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 30 34 36 40 45 51 60 68 72 85 90 102 120 136 153 170 180 204 255 306 340 360 408 510 612 680 765 1020 1224 1530 2040 3060 5437 6120 10874 16311 21748 27185 32622 43496 48933 54370 65244 81555 92429 97866 108740 130488 163110 184858 195732 217480 244665 277287 326220 369716 391464 462145 489330 554574 652440 739432 831861 924290 978660 1109148 1386435 1663722 1848580 1957320 2218296 2772870 3327444 3697160 4159305 5545740 6654888 8318610 11091480 16637220 33274440