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3089400 = 2335219271
BaseRepresentation
bin1011110010001111111000
312210221212020
423302033320
51242330100
6150114440
735154666
oct13621770
95727766
103089400
111820126
12104ba20
13842262
145a5c36
154105a0
hex2f23f8

3089400 has 96 divisors (see below), whose sum is σ = 10118400. Its totient is φ = 777600.

The previous prime is 3089377. The next prime is 3089407. The reversal of 3089400 is 49803.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3089407) 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 23 ways as a sum of consecutive naturals, for example, 11265 + ... + 11535.

It is an arithmetic number, because the mean of its divisors is an integer number (105400).

Almost surely, 23089400 is an apocalyptic number.

3089400 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 3089400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5059200).

3089400 is an abundant number, since it is smaller than the sum of its proper divisors (7029000).

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

3089400 is a wasteful number, since it uses less digits than its factorization.

3089400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 3089400 is about 1757.6689108020. The cubic root of 3089400 is about 145.6435917860.

The spelling of 3089400 in words is "three million, eighty-nine thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 25 30 38 40 50 57 60 75 76 95 100 114 120 150 152 190 200 228 271 285 300 380 456 475 542 570 600 760 813 950 1084 1140 1355 1425 1626 1900 2168 2280 2710 2850 3252 3800 4065 5149 5420 5700 6504 6775 8130 10298 10840 11400 13550 15447 16260 20325 20596 25745 27100 30894 32520 40650 41192 51490 54200 61788 77235 81300 102980 123576 128725 154470 162600 205960 257450 308940 386175 514900 617880 772350 1029800 1544700 3089400