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3385320 = 233528211
BaseRepresentation
bin1100111010011111101000
320100222210020
430322133220
51331312240
6200320440
740526511
oct14723750
96328706
103385320
111a02494
121173120
13916b63
14641a08
1546d0d0
hex33a7e8

3385320 has 32 divisors (see below), whose sum is σ = 10156320. Its totient is φ = 902720.

The previous prime is 3385313. The next prime is 3385331. The reversal of 3385320 is 235833.

3385320 = T250 + T251 + ... + T329.

It is a super-2 number, since 2×33853202 = 22920783004800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 13986 + ... + 14225.

It is an arithmetic number, because the mean of its divisors is an integer number (317385).

Almost surely, 23385320 is an apocalyptic number.

3385320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3385320 is an abundant number, since it is smaller than the sum of its proper divisors (6771000).

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

3385320 is a wasteful number, since it uses less digits than its factorization.

3385320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28225 (or 28221 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 3385320 is about 1839.9239114703. The cubic root of 3385320 is about 150.1527333197.

It can be divided in two parts, 3 and 385320, that multiplied together give a triangular number (1155960 = T1520).

The spelling of 3385320 in words is "three million, three hundred eighty-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 28211 56422 84633 112844 141055 169266 225688 282110 338532 423165 564220 677064 846330 1128440 1692660 3385320