Search a number
-
+
33994350 = 23352132149
BaseRepresentation
bin1000000110101…
…1011001101110
32100222002111000
42001223121232
532200304400
63212341130
7561642615
oct201533156
970862430
1033994350
1118209505
12b4747a6
137073100
14472c87c
152eb7600
hex206b66e

33994350 has 144 divisors (see below), whose sum is σ = 102114000. Its totient is φ = 8311680.

The previous prime is 33994349. The next prime is 33994357. The reversal of 33994350 is 5349933.

It is a happy number.

33994350 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33994357) 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, 228076 + ... + 228224.

It is an arithmetic number, because the mean of its divisors is an integer number (709125).

Almost surely, 233994350 is an apocalyptic number.

33994350 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 33994350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51057000).

33994350 is an abundant number, since it is smaller than the sum of its proper divisors (68119650).

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

33994350 is a wasteful number, since it uses less digits than its factorization.

33994350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 36.

The square root of 33994350 is about 5830.4673912132. The cubic root of 33994350 is about 323.9432342251.

The spelling of 33994350 in words is "thirty-three million, nine hundred ninety-four thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 27 30 39 45 50 54 65 75 78 90 117 130 135 149 150 169 195 225 234 270 298 325 338 351 390 447 450 507 585 650 675 702 745 845 894 975 1014 1170 1341 1350 1490 1521 1690 1755 1937 1950 2235 2535 2682 2925 3042 3510 3725 3874 4023 4225 4470 4563 5070 5811 5850 6705 7450 7605 8046 8450 8775 9126 9685 11175 11622 12675 13410 15210 17433 17550 19370 20115 22350 22815 25181 25350 29055 33525 34866 38025 40230 45630 48425 50362 52299 58110 67050 75543 76050 87165 96850 100575 104598 114075 125905 145275 151086 174330 201150 226629 228150 251810 261495 290550 377715 435825 453258 522990 629525 679887 755430 871650 1133145 1259050 1307475 1359774 1888575 2266290 2614950 3399435 3777150 5665725 6798870 11331450 16997175 33994350