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2340900 = 223452172
BaseRepresentation
bin1000111011100000100100
311101221010000
420323200210
51044402100
6122101300
725616532
oct10734044
94357100
102340900
111359831
1294a830
1363c663
1444d152
15313900
hex23b824

2340900 has 135 divisors (see below), whose sum is σ = 8060899. Its totient is φ = 587520.

The previous prime is 2340893. The next prime is 2340911. The reversal of 2340900 is 90432.

The square root of 2340900 is 1530.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 54756 + 2286144 = 234^2 + 1512^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a hoax number, since the sum of its digits (18) 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 (18).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 137692 + ... + 137708.

22340900 is an apocalyptic number.

2340900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2340900 is the 1530-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2340900

2340900 is an abundant number, since it is smaller than the sum of its proper divisors (5719999).

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

2340900 is a wasteful number, since it uses less digits than its factorization.

2340900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The cubic root of 2340900 is about 132.7784579419.

It can be divided in two parts, 2340 and 900, that added together give a triangular number (3240 = T80).

The spelling of 2340900 in words is "two million, three hundred forty thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 25 27 30 34 36 45 50 51 54 60 68 75 81 85 90 100 102 108 135 150 153 162 170 180 204 225 255 270 289 300 306 324 340 405 425 450 459 510 540 578 612 675 765 810 850 867 900 918 1020 1156 1275 1350 1377 1445 1530 1620 1700 1734 1836 2025 2295 2550 2601 2700 2754 2890 3060 3468 3825 4050 4335 4590 5100 5202 5508 5780 6885 7225 7650 7803 8100 8670 9180 10404 11475 13005 13770 14450 15300 15606 17340 21675 22950 23409 26010 27540 28900 31212 34425 39015 43350 45900 46818 52020 65025 68850 78030 86700 93636 117045 130050 137700 156060 195075 234090 260100 390150 468180 585225 780300 1170450 2340900