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1230341200 = 2452111914717
BaseRepresentation
bin100100101010101…
…1000010001010000
310011202002210211121
41021111120101100
510004431404300
6322030252024
742326504404
oct11125302120
93152083747
101230341200
1158154a610
122a4057014
13167b8885a
14b958b104
157303081a
hex49558450

1230341200 has 120 divisors (see below), whose sum is σ = 3394559520. Its totient is φ = 423820800.

The previous prime is 1230341159. The next prime is 1230341209. The reversal of 1230341200 is 21430321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1230341209) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 76242 + ... + 90958.

It is an arithmetic number, because the mean of its divisors is an integer number (28287996).

Almost surely, 21230341200 is an apocalyptic number.

1230341200 is a gapful number since it is divisible by the number (10) 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 1230341200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1697279760).

1230341200 is an abundant number, since it is smaller than the sum of its proper divisors (2164218320).

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

1230341200 is a wasteful number, since it uses less digits than its factorization.

1230341200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14765 (or 14754 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1230341200 is about 35076.2198647460. The cubic root of 1230341200 is about 1071.5403325534.

Adding to 1230341200 its reverse (21430321), we get a palindrome (1251771521).

The spelling of 1230341200 in words is "one billion, two hundred thirty million, three hundred forty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 25 38 40 44 50 55 76 80 88 95 100 110 152 176 190 200 209 220 275 304 380 400 418 440 475 550 760 836 880 950 1045 1100 1520 1672 1900 2090 2200 3344 3800 4180 4400 5225 7600 8360 10450 14717 16720 20900 29434 41800 58868 73585 83600 117736 147170 161887 235472 279623 294340 323774 367925 559246 588680 647548 735850 809435 1118492 1177360 1295096 1398115 1471700 1618870 2236984 2590192 2796230 2943400 3075853 3237740 4047175 4473968 5592460 5886800 6151706 6475480 6990575 8094350 11184920 12303412 12950960 13981150 15379265 16188700 22369840 24606824 27962300 30758530 32377400 49213648 55924600 61517060 64754800 76896325 111849200 123034120 153792650 246068240 307585300 615170600 1230341200