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1343131088 = 241353731669
BaseRepresentation
bin101000000001110…
…1000110111010000
310110121100010110212
41100003220313100
510222320143323
6341135543252
745166266035
oct12003506720
93417303425
101343131088
1162a1872a2
1231598ab28
13185359a30
14ca54b38c
157cdaeb78
hex500e8dd0

1343131088 has 80 divisors (see below), whose sum is σ = 2896220880. Its totient is φ = 599519232.

The previous prime is 1343131081. The next prime is 1343131093. The reversal of 1343131088 is 8801313431.

It can be written as a sum of positive squares in 8 ways, for example, as 1227664 + 1341903424 = 1108^2 + 36632^2 .

It is a super-2 number, since 2×13431310882 = 3608002239104127488, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1343131081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 803918 + ... + 805586.

It is an arithmetic number, because the mean of its divisors is an integer number (36202761).

Almost surely, 21343131088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1343131088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1448110440).

1343131088 is an abundant number, since it is smaller than the sum of its proper divisors (1553089792).

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

1343131088 is a wasteful number, since it uses less digits than its factorization.

1343131088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1816 (or 1810 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 1343131088 is about 36648.7528846481. The cubic root of 1343131088 is about 1103.3317956388.

The spelling of 1343131088 in words is "one billion, three hundred forty-three million, one hundred thirty-one thousand, eighty-eight".

Divisors: 1 2 4 8 13 16 26 52 53 73 104 106 146 208 212 292 424 584 689 848 949 1168 1378 1669 1898 2756 3338 3796 3869 5512 6676 7592 7738 11024 13352 15184 15476 21697 26704 30952 43394 50297 61904 86788 88457 100594 121837 173576 176914 201188 243674 347152 353828 402376 487348 707656 804752 974696 1149941 1415312 1583881 1949392 2299882 3167762 4599764 6335524 6457361 9199528 12671048 12914722 18399056 25342096 25829444 51658888 83945693 103317776 167891386 335782772 671565544 1343131088