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1348741460 = 2251135917077
BaseRepresentation
bin101000001100100…
…0010100101010100
310110222220011110102
41100121002211110
510230234211320
6341500113232
745265053563
oct12031024524
93428804412
101348741460
11632369470
12317835818
13186572591
14cb1abbda
157d61c175
hex50642954

1348741460 has 48 divisors (see below), whose sum is σ = 3098632320. Its totient is φ = 489056640.

The previous prime is 1348741441. The next prime is 1348741463. The reversal of 1348741460 is 641478431.

It is a happy number.

It is a super-3 number, since 3×13487414603 (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1348741463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70442 + ... + 87518.

It is an arithmetic number, because the mean of its divisors is an integer number (64554840).

Almost surely, 21348741460 is an apocalyptic number.

1348741460 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 1348741460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1549316160).

1348741460 is an abundant number, since it is smaller than the sum of its proper divisors (1749890860).

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

1348741460 is a wasteful number, since it uses less digits than its factorization.

1348741460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17456 (or 17454 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 38.

The square root of 1348741460 is about 36725.2155882032. The cubic root of 1348741460 is about 1104.8658982925.

The spelling of 1348741460 in words is "one billion, three hundred forty-eight million, seven hundred forty-one thousand, four hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 359 718 1436 1795 3590 3949 7180 7898 15796 17077 19745 34154 39490 68308 78980 85385 170770 187847 341540 375694 751388 939235 1878470 3756940 6130643 12261286 24522572 30653215 61306430 67437073 122612860 134874146 269748292 337185365 674370730 1348741460