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1348444864 = 26132775851
BaseRepresentation
bin101000001011111…
…1010001011000000
310110222100002121101
41100113322023000
510230200213424
6341445504144
745262410064
oct12027721300
93428302541
101348444864
11632186648
12317712054
1318649a590
14cb131aa4
157d5ae344
hex505fa2c0

1348444864 has 56 divisors (see below), whose sum is σ = 2892549968. Its totient is φ = 620006400.

The previous prime is 1348444847. The next prime is 1348444883. The reversal of 1348444864 is 4684448431.

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 7 ways as a sum of consecutive naturals, for example, 227539 + ... + 233389.

It is an arithmetic number, because the mean of its divisors is an integer number (51652678).

Almost surely, 21348444864 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 1348444864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1446274984).

1348444864 is an abundant number, since it is smaller than the sum of its proper divisors (1544105104).

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

1348444864 is a wasteful number, since it uses less digits than its factorization.

1348444864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6153 (or 6143 counting only the distinct ones).

The product of its digits is 1179648, while the sum is 46.

The square root of 1348444864 is about 36721.1773231742. The cubic root of 1348444864 is about 1104.7849035678.

The spelling of 1348444864 in words is "one billion, three hundred forty-eight million, four hundred forty-four thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 277 416 554 832 1108 2216 3601 4432 5851 7202 8864 11702 14404 17728 23404 28808 46808 57616 76063 93616 115232 152126 187232 230464 304252 374464 608504 1217008 1620727 2434016 3241454 4868032 6482908 12965816 21069451 25931632 42138902 51863264 84277804 103726528 168555608 337111216 674222432 1348444864