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1342318200 = 233526733391
BaseRepresentation
bin101000000000010…
…0010011001111000
310110112210211101220
41100000202121320
510222113140300
6341110312040
745156342066
oct12000423170
93415724356
101342318200
11629781593
12315658620
13185133a32
14ca3b9036
157cc9dda0
hex50022678

1342318200 has 96 divisors (see below), whose sum is σ = 4223420160. Its totient is φ = 352598400.

The previous prime is 1342318193. The next prime is 1342318217. The reversal of 1342318200 is 28132431.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23505 + ... + 56895.

It is an arithmetic number, because the mean of its divisors is an integer number (43993960).

Almost surely, 21342318200 is an apocalyptic number.

1342318200 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 1342318200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2111710080).

1342318200 is an abundant number, since it is smaller than the sum of its proper divisors (2881101960).

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

1342318200 is a wasteful number, since it uses less digits than its factorization.

1342318200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33477 (or 33468 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 1342318200 is about 36637.6609515400. The cubic root of 1342318200 is about 1103.1091650550.

The spelling of 1342318200 in words is "one billion, three hundred forty-two million, three hundred eighteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 67 75 100 120 134 150 200 201 268 300 335 402 536 600 670 804 1005 1340 1608 1675 2010 2680 3350 4020 5025 6700 8040 10050 13400 20100 33391 40200 66782 100173 133564 166955 200346 267128 333910 400692 500865 667820 801384 834775 1001730 1335640 1669550 2003460 2237197 2504325 3339100 4006920 4474394 5008650 6678200 6711591 8948788 10017300 11185985 13423182 17897576 20034600 22371970 26846364 33557955 44743940 53692728 55929925 67115910 89487880 111859850 134231820 167789775 223719700 268463640 335579550 447439400 671159100 1342318200