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1349127008 = 252367109251
BaseRepresentation
bin101000001101010…
…0000101101100000
310111000121202022222
41100122200231200
510230334031013
6341512250212
745301250615
oct12032405540
93430552288
101349127008
116326020a9
123179a0968
13186678c08
14cb26c50c
157d696508
hex506a0b60

1349127008 has 96 divisors (see below), whose sum is σ = 2850059520. Its totient is φ = 627264000.

The previous prime is 1349127007. The next prime is 1349127011. The reversal of 1349127008 is 8007219431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1349127007) 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, 5374883 + ... + 5375133.

It is an arithmetic number, because the mean of its divisors is an integer number (29688120).

Almost surely, 21349127008 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 1349127008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1425029760).

1349127008 is an abundant number, since it is smaller than the sum of its proper divisors (1500932512).

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

1349127008 is a wasteful number, since it uses less digits than its factorization.

1349127008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 1349127008 is about 36730.4643041713. The cubic root of 1349127008 is about 1104.9711663681.

The spelling of 1349127008 in words is "one billion, three hundred forty-nine million, one hundred twenty-seven thousand, eight".

Divisors: 1 2 4 8 16 23 32 46 67 92 109 134 184 218 251 268 368 436 502 536 736 872 1004 1072 1541 1744 2008 2144 2507 3082 3488 4016 5014 5773 6164 7303 8032 10028 11546 12328 14606 16817 20056 23092 24656 27359 29212 33634 40112 46184 49312 54718 58424 67268 80224 92368 109436 116848 134536 167969 184736 218872 233696 269072 335938 386791 437744 538144 629257 671876 773582 875488 1258514 1343752 1547164 1833053 2517028 2687504 3094328 3666106 5034056 5375008 6188656 7332212 10068112 12377312 14664424 20136224 29328848 42160219 58657696 84320438 168640876 337281752 674563504 1349127008