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1343545140 = 2235711328309
BaseRepresentation
bin101000000010100…
…1101111100110100
310110122010011110010
41100011031330310
510222421421030
6341152500220
745202642140
oct12005157464
93418104403
101343545140
1162a43a393
12315b4a670
13185473332
14ca618220
157ce426b0
hex5014df34

1343545140 has 96 divisors (see below), whose sum is σ = 4337544960. Its totient is φ = 304367616.

The previous prime is 1343545129. The next prime is 1343545169. The reversal of 1343545140 is 415453431.

It is a super-2 number, since 2×13435451402 = 3610227086435239200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1343545098 and 1343545107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33306 + ... + 61614.

It is an arithmetic number, because the mean of its divisors is an integer number (45182760).

Almost surely, 21343545140 is an apocalyptic number.

1343545140 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 1343545140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2168772480).

1343545140 is an abundant number, since it is smaller than the sum of its proper divisors (2993999820).

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

1343545140 is a wasteful number, since it uses less digits than its factorization.

1343545140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28441 (or 28439 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 1343545140 is about 36654.4013728229. The cubic root of 1343545140 is about 1103.4451600516.

Adding to 1343545140 its reverse (415453431), we get a palindrome (1758998571).

The spelling of 1343545140 in words is "one billion, three hundred forty-three million, five hundred forty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 113 140 210 226 339 420 452 565 678 791 1130 1356 1582 1695 2260 2373 3164 3390 3955 4746 6780 7910 9492 11865 15820 23730 28309 47460 56618 84927 113236 141545 169854 198163 283090 339708 396326 424635 566180 594489 792652 849270 990815 1188978 1698540 1981630 2377956 2972445 3198917 3963260 5944890 6397834 9596751 11889780 12795668 15994585 19193502 22392419 31989170 38387004 44784838 47983755 63978340 67177257 89569676 95967510 111962095 134354514 191935020 223924190 268709028 335886285 447848380 671772570 1343545140