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2246040 = 2332517367
BaseRepresentation
bin1000100100010110011000
311020002222200
420210112120
51033333130
6120050200
725043136
oct10442630
94202880
102246040
1112a4535
12903960
13608424
14426756
152e5760
hex224598

2246040 has 96 divisors (see below), whose sum is σ = 7750080. Its totient is φ = 562176.

The previous prime is 2246039. The next prime is 2246051. The reversal of 2246040 is 406422.

2246040 = T261 + T262 + ... + T314.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5937 + ... + 6303.

It is an arithmetic number, because the mean of its divisors is an integer number (80730).

22246040 is an apocalyptic number.

2246040 is a gapful number since it is divisible by the number (20) 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 2246040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3875040).

2246040 is an abundant number, since it is smaller than the sum of its proper divisors (5504040).

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

2246040 is a wasteful number, since it uses less digits than its factorization.

2246040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2246040 is about 1498.6794186883. The cubic root of 2246040 is about 130.9601494854.

It can be divided in two parts, 22460 and 40, that added together give a square (22500 = 1502).

The spelling of 2246040 in words is "two million, two hundred forty-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 30 34 36 40 45 51 60 68 72 85 90 102 120 136 153 170 180 204 255 306 340 360 367 408 510 612 680 734 765 1020 1101 1224 1468 1530 1835 2040 2202 2936 3060 3303 3670 4404 5505 6120 6239 6606 7340 8808 11010 12478 13212 14680 16515 18717 22020 24956 26424 31195 33030 37434 44040 49912 56151 62390 66060 74868 93585 112302 124780 132120 149736 187170 224604 249560 280755 374340 449208 561510 748680 1123020 2246040