Search a number
-
+
3385500 = 223533761
BaseRepresentation
bin1100111010100010011100
320101000000220
430322202130
51331314000
6200321340
740530156
oct14724234
96330026
103385500
111a02638
121173250
13916c71
14641ad6
1546d1a0
hex33a89c

3385500 has 96 divisors (see below), whose sum is σ = 10291008. Its totient is φ = 864000.

The previous prime is 3385469. The next prime is 3385511. The reversal of 3385500 is 55833.

3385500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33855002 = 22923220500000, which contains 22 as substring.

It is a congruent number.

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, 55470 + ... + 55530.

It is an arithmetic number, because the mean of its divisors is an integer number (107198).

Almost surely, 23385500 is an apocalyptic number.

3385500 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 3385500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5145504).

3385500 is an abundant number, since it is smaller than the sum of its proper divisors (6905508).

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

3385500 is a wasteful number, since it uses less digits than its factorization.

3385500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 3385500 is about 1839.9728258863. The cubic root of 3385500 is about 150.1553945169.

It can be divided in two parts, 33 and 85500, that multiplied together give a triangular number (2821500 = T2375).

The spelling of 3385500 in words is "three million, three hundred eighty-five thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 61 74 75 100 111 122 125 148 150 183 185 222 244 250 300 305 366 370 375 444 500 555 610 732 740 750 915 925 1110 1220 1500 1525 1830 1850 2220 2257 2775 3050 3660 3700 4514 4575 4625 5550 6100 6771 7625 9028 9150 9250 11100 11285 13542 13875 15250 18300 18500 22570 22875 27084 27750 30500 33855 45140 45750 55500 56425 67710 91500 112850 135420 169275 225700 282125 338550 564250 677100 846375 1128500 1692750 3385500