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2670408 = 233413317
BaseRepresentation
bin1010001011111101001000
312000200010000
422023331020
51140423113
6133123000
731461306
oct12137510
95020100
102670408
111564354
12a89460
13726630
144d7276
1537b373
hex28bf48

2670408 has 80 divisors (see below), whose sum is σ = 8080380. Its totient is φ = 819072.

The previous prime is 2670373. The next prime is 2670439. The reversal of 2670408 is 8040762.

2670408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2125764 + 544644 = 1458^2 + 738^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

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 19 ways as a sum of consecutive naturals, for example, 8266 + ... + 8582.

22670408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2670408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4040190).

2670408 is an abundant number, since it is smaller than the sum of its proper divisors (5409972).

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

2670408 is a wasteful number, since it uses less digits than its factorization.

2670408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2670408 is about 1634.1383050403. The cubic root of 2670408 is about 138.7370769556.

The spelling of 2670408 in words is "two million, six hundred seventy thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 312 317 324 351 468 634 648 702 936 951 1053 1268 1404 1902 2106 2536 2808 2853 3804 4121 4212 5706 7608 8242 8424 8559 11412 12363 16484 17118 22824 24726 25677 32968 34236 37089 49452 51354 68472 74178 98904 102708 111267 148356 205416 222534 296712 333801 445068 667602 890136 1335204 2670408