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1342200420 = 22325112329473
BaseRepresentation
bin101000000000000…
…0101101001100100
310110112120211211200
41100000011221210
510222100403140
6341104002500
745155341521
oct12000055144
93415524750
101342200420
11629701050
12315600430
131850c2242
14ca388148
157cc79030
hex50005a64

1342200420 has 144 divisors (see below), whose sum is σ = 4634727552. Its totient is φ = 311224320.

The previous prime is 1342200407. The next prime is 1342200421. The reversal of 1342200420 is 240022431.

1342200420 is a `hidden beast` number, since 1 + 3 + 42 + 200 + 420 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1342200393 and 1342200402.

It is not an unprimeable number, because it can be changed into a prime (1342200421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30804 + ... + 60276.

It is an arithmetic number, because the mean of its divisors is an integer number (32185608).

Almost surely, 21342200420 is an apocalyptic number.

1342200420 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 1342200420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2317363776).

1342200420 is an abundant number, since it is smaller than the sum of its proper divisors (3292527132).

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

1342200420 is a wasteful number, since it uses less digits than its factorization.

1342200420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29522 (or 29517 counting only the distinct ones).

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

The square root of 1342200420 is about 36636.0535538423. The cubic root of 1342200420 is about 1103.0769004753.

Adding to 1342200420 its reverse (240022431), we get a palindrome (1582222851).

The spelling of 1342200420 in words is "one billion, three hundred forty-two million, two hundred thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 23 30 33 36 44 45 46 55 60 66 69 90 92 99 110 115 132 138 165 180 198 207 220 230 253 276 330 345 396 414 460 495 506 660 690 759 828 990 1012 1035 1265 1380 1518 1980 2070 2277 2530 3036 3795 4140 4554 5060 7590 9108 11385 15180 22770 29473 45540 58946 88419 117892 147365 176838 265257 294730 324203 353676 442095 530514 589460 648406 677879 884190 972609 1061028 1296812 1326285 1355758 1621015 1768380 1945218 2033637 2652570 2711516 2917827 3242030 3389395 3890436 4067274 4863045 5305140 5835654 6100911 6484060 6778790 7456669 8134548 9726090 10168185 11671308 12201822 13557580 14589135 14913338 19452180 20336370 22370007 24403644 29178270 29826676 30504555 37283345 40672740 44740014 58356540 61009110 67110021 74566690 89480028 111850035 122018220 134220042 149133380 223700070 268440084 335550105 447400140 671100210 1342200420