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1349712690 = 2351919312269
BaseRepresentation
bin101000001110010…
…1111101100110010
310111001201111201220
41100130233230302
510231011301230
6341533005510
745306240264
oct12034575462
93431644656
101349712690
11632972137
12318023896
13186822681
14cb381b34
157d75ed10
hex5072fb32

1349712690 has 64 divisors (see below), whose sum is σ = 3427747200. Its totient is φ = 339185664.

The previous prime is 1349712673. The next prime is 1349712691. The reversal of 1349712690 is 962179431.

It is a super-2 number, since 2×13497126902 = 3643448691094072200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1349712691) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103876 + ... + 116144.

It is an arithmetic number, because the mean of its divisors is an integer number (53558550).

Almost surely, 21349712690 is an apocalyptic number.

1349712690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1349712690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1713873600).

1349712690 is an abundant number, since it is smaller than the sum of its proper divisors (2078034510).

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

1349712690 is a wasteful number, since it uses less digits than its factorization.

1349712690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12491.

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 1349712690 is about 36738.4361398250. The cubic root of 1349712690 is about 1105.1310396524.

The spelling of 1349712690 in words is "one billion, three hundred forty-nine million, seven hundred twelve thousand, six hundred ninety".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 193 285 386 570 579 965 1158 1930 2895 3667 5790 7334 11001 12269 18335 22002 24538 36670 36807 55005 61345 73614 110010 122690 184035 233111 368070 466222 699333 1165555 1398666 2331110 2367917 3496665 4735834 6993330 7103751 11839585 14207502 23679170 35518755 44990423 71037510 89980846 134971269 224952115 269942538 449904230 674856345 1349712690