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1343400100 = 2252723181461
BaseRepresentation
bin101000000010010…
…1010100010100100
310110121211210111021
41100010222202210
510222402300400
6341145420524
745201466240
oct12004524244
93417753437
101343400100
1162a350419
12315a9a744
13185422303
14ca5bb420
157ce1471a
hex5012a8a4

1343400100 has 144 divisors (see below), whose sum is σ = 3503275776. Its totient is φ = 437184000.

The previous prime is 1343400053. The next prime is 1343400103. The reversal of 1343400100 is 10043431.

It is not an unprimeable number, because it can be changed into a prime (1343400103) 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, 2913870 + ... + 2914330.

It is an arithmetic number, because the mean of its divisors is an integer number (24328304).

Almost surely, 21343400100 is an apocalyptic number.

1343400100 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 1343400100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1751637888).

1343400100 is an abundant number, since it is smaller than the sum of its proper divisors (2159875676).

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

1343400100 is a wasteful number, since it uses less digits than its factorization.

1343400100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 679 counting only the distinct ones).

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

The square root of 1343400100 is about 36652.4228394250. The cubic root of 1343400100 is about 1103.4054518099.

Adding to 1343400100 its reverse (10043431), we get a palindrome (1353443531).

The spelling of 1343400100 in words is "one billion, three hundred forty-three million, four hundred thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 23 25 28 35 46 50 70 92 100 115 140 161 175 181 230 322 350 362 460 461 575 644 700 724 805 905 922 1150 1267 1610 1810 1844 2300 2305 2534 3220 3227 3620 4025 4163 4525 4610 5068 6335 6454 8050 8326 9050 9220 10603 11525 12670 12908 16100 16135 16652 18100 20815 21206 23050 25340 29141 31675 32270 41630 42412 46100 53015 58282 63350 64540 74221 80675 83260 83441 104075 106030 116564 126700 145705 148442 161350 166882 208150 212060 265075 291410 296884 322700 333764 371105 416300 417205 530150 582820 584087 728525 742210 834410 1060300 1168174 1457050 1484420 1668820 1855525 1919143 2086025 2336348 2914100 2920435 3711050 3838286 4172050 5840870 7422100 7676572 8344100 9595715 11681740 13434001 14602175 19191430 26868002 29204350 38382860 47978575 53736004 58408700 67170005 95957150 134340010 191914300 268680020 335850025 671700050 1343400100