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1343134300 = 2252177379137
BaseRepresentation
bin101000000001110…
…1001101001011100
310110121100021212211
41100003221221130
510222320244200
6341140010204
745166311304
oct12003515134
93417307784
101343134300
1162a189752
12315990964
1318535b331
14ca54c604
157cdb0aba
hex500e9a5c

1343134300 has 144 divisors (see below), whose sum is σ = 3191045760. Its totient is φ = 488816640.

The previous prime is 1343134277. The next prime is 1343134307. The reversal of 1343134300 is 34313431.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1343134307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9803832 + ... + 9803968.

It is an arithmetic number, because the mean of its divisors is an integer number (22160040).

Almost surely, 21343134300 is an apocalyptic number.

1343134300 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 1343134300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1595522880).

1343134300 is an abundant number, since it is smaller than the sum of its proper divisors (1847911460).

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

1343134300 is a wasteful number, since it uses less digits than its factorization.

1343134300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

The square root of 1343134300 is about 36648.7967060312. The cubic root of 1343134300 is about 1103.3326751506.

Adding to 1343134300 its reverse (34313431), we get a palindrome (1377447731).

It can be divided in two parts, 1343 and 134300, that multiplied together give a square (180364900 = 134302).

The spelling of 1343134300 in words is "one billion, three hundred forty-three million, one hundred thirty-four thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 73 79 85 100 137 146 158 170 274 292 316 340 365 395 425 548 685 730 790 850 1241 1343 1370 1460 1580 1700 1825 1975 2329 2482 2686 2740 3425 3650 3950 4658 4964 5372 5767 6205 6715 6850 7300 7900 9316 10001 10823 11534 11645 12410 13430 13700 20002 21646 23068 23290 24820 26860 28835 31025 33575 40004 43292 46580 50005 54115 57670 58225 62050 67150 98039 100010 108230 115340 116450 124100 134300 144175 170017 183991 196078 200020 216460 232900 250025 270575 288350 340034 367982 392156 490195 500050 541150 576700 680068 735964 790079 850085 919955 980390 1000100 1082300 1580158 1700170 1839910 1960780 2450975 3160316 3400340 3679820 3950395 4250425 4599775 4901950 7900790 8500850 9199550 9803900 13431343 15801580 17001700 18399100 19751975 26862686 39503950 53725372 67156715 79007900 134313430 268626860 335783575 671567150 1343134300