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2428470 = 2325112223
BaseRepresentation
bin1001010000111000110110
311120101020100
421100320312
51110202340
6124014530
726433042
oct11207066
94511210
102428470
111409600
12991446
13670485
14473022
1532e830
hex250e36

2428470 has 72 divisors (see below), whose sum is σ = 6971328. Its totient is φ = 586080.

The previous prime is 2428457. The next prime is 2428487. The reversal of 2428470 is 748242.

2428470 = T310 + T311 + ... + T353.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10779 + ... + 11001.

It is an arithmetic number, because the mean of its divisors is an integer number (96824).

22428470 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2428470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3485664).

2428470 is an abundant number, since it is smaller than the sum of its proper divisors (4542858).

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

2428470 is a wasteful number, since it uses less digits than its factorization.

2428470 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 2428470 is about 1558.3549018115. The cubic root of 2428470 is about 134.4139202206.

The spelling of 2428470 in words is "two million, four hundred twenty-eight thousand, four hundred seventy".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 121 165 198 223 242 330 363 446 495 605 669 726 990 1089 1115 1210 1338 1815 2007 2178 2230 2453 3345 3630 4014 4906 5445 6690 7359 10035 10890 12265 14718 20070 22077 24530 26983 36795 44154 53966 73590 80949 110385 134915 161898 220770 242847 269830 404745 485694 809490 1214235 2428470