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4342023200 = 2552137173229
BaseRepresentation
bin1000000101100111…
…00000010000100000
3102012121021122002002
410002303200100200
532343024220300
61554504343132
7212412405524
oct40263402040
912177248062
104342023200
111928a60329
12a12174aa8
13542743bc8
142d2945d84
151a62d55d5
hex102ce0420

4342023200 has 144 divisors (see below), whose sum is σ = 10785950280. Its totient is φ = 1706680320.

The previous prime is 4342023143. The next prime is 4342023209. The reversal of 4342023200 is 23202434.

It can be written as a sum of positive squares in 12 ways, for example, as 2212385296 + 2129637904 = 47036^2 + 46148^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (4342023209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18960686 + ... + 18960914.

Almost surely, 24342023200 is an apocalyptic number.

4342023200 is a gapful number since it is divisible by the number (40) 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 4342023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5392975140).

4342023200 is an abundant number, since it is smaller than the sum of its proper divisors (6443927080).

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

4342023200 is a wasteful number, since it uses less digits than its factorization.

4342023200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 4342023200 is about 65894.0300786042. The cubic root of 4342023200 is about 1631.4134802860.

Adding to 4342023200 its reverse (23202434), we get a palindrome (4365225634).

The spelling of 4342023200 in words is "four billion, three hundred forty-two million, twenty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 137 160 173 200 229 274 346 400 458 548 685 692 800 865 916 1096 1145 1370 1384 1730 1832 2192 2290 2740 2768 3425 3460 3664 4325 4384 4580 5480 5536 5725 6850 6920 7328 8650 9160 10960 11450 13700 13840 17300 18320 21920 22900 23701 27400 27680 31373 34600 36640 39617 45800 47402 54800 62746 69200 79234 91600 94804 109600 118505 125492 138400 156865 158468 183200 189608 198085 237010 250984 313730 316936 379216 396170 474020 501968 592525 627460 633872 758432 784325 792340 948040 990425 1003936 1185050 1254920 1267744 1568650 1584680 1896080 1980850 2370100 2509840 3137300 3169360 3792160 3961700 4740200 5019680 5427529 6274600 6338720 7923400 9480400 10855058 12549200 15846800 18960800 21710116 25098400 27137645 31693600 43420232 54275290 86840464 108550580 135688225 173680928 217101160 271376450 434202320 542752900 868404640 1085505800 2171011600 4342023200