Search a number
-
+
1348439136 = 2531110391229
BaseRepresentation
bin101000001011111…
…1000110001100000
310110222022210202020
41100113320301200
510230200023021
6341445421440
745262354302
oct12027706140
93428283666
101348439136
11632182310
1231770a880
13186497aa5
14cb12d972
157d5ac7c6
hex505f8c60

1348439136 has 96 divisors (see below), whose sum is σ = 3868300800. Its totient is φ = 407892480.

The previous prime is 1348439039. The next prime is 1348439143. The reversal of 1348439136 is 6319348431.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×13484391363 (a number of 28 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1096570 + ... + 1097798.

It is an arithmetic number, because the mean of its divisors is an integer number (40294800).

Almost surely, 21348439136 is an apocalyptic number.

1348439136 is a gapful number since it is divisible by the number (16) 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 1348439136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1934150400).

1348439136 is an abundant number, since it is smaller than the sum of its proper divisors (2519861664).

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

1348439136 is a wasteful number, since it uses less digits than its factorization.

1348439136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2292 (or 2284 counting only the distinct ones).

The product of its digits is 186624, while the sum is 42.

The square root of 1348439136 is about 36721.0993299493. The cubic root of 1348439136 is about 1104.7833392431.

The spelling of 1348439136 in words is "one billion, three hundred forty-eight million, four hundred thirty-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1039 1056 1229 2078 2458 3117 3687 4156 4916 6234 7374 8312 9832 11429 12468 13519 14748 16624 19664 22858 24936 27038 29496 33248 34287 39328 40557 45716 49872 54076 58992 68574 81114 91432 99744 108152 117984 137148 162228 182864 216304 274296 324456 365728 432608 548592 648912 1097184 1276931 1297824 2553862 3830793 5107724 7661586 10215448 14046241 15323172 20430896 28092482 30646344 40861792 42138723 56184964 61292688 84277446 112369928 122585376 168554892 224739856 337109784 449479712 674219568 1348439136