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1348112832 = 263114311481
BaseRepresentation
bin101000001011010…
…1001000111000000
310110221201020010220
41100112221013000
510230104102312
6341434423040
745256525053
oct12026510700
93427636126
101348112832
11631a7a140
12317591a80
131863b2401
14cb086a9a
157d545c8c
hex505a91c0

1348112832 has 112 divisors (see below), whose sum is σ = 3902805504. Its totient is φ = 407296000.

The previous prime is 1348112819. The next prime is 1348112839. The reversal of 1348112832 is 2382118431.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1348112793 and 1348112802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1348112839) 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, 909532 + ... + 911012.

Almost surely, 21348112832 is an apocalyptic number.

1348112832 is a gapful number since it is divisible by the number (12) 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 1348112832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1951402752).

1348112832 is an abundant number, since it is smaller than the sum of its proper divisors (2554692672).

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

1348112832 is a wasteful number, since it uses less digits than its factorization.

1348112832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1938 (or 1928 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 1348112832 is about 36716.6560568906. The cubic root of 1348112832 is about 1104.6942178544.

The spelling of 1348112832 in words is "one billion, three hundred forty-eight million, one hundred twelve thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 431 528 704 862 1056 1293 1481 1724 2112 2586 2962 3448 4443 4741 5172 5924 6896 8886 9482 10344 11848 13792 14223 16291 17772 18964 20688 23696 27584 28446 32582 35544 37928 41376 47392 48873 56892 65164 71088 75856 82752 94784 97746 113784 130328 142176 151712 195492 227568 260656 284352 303424 390984 455136 521312 638311 781968 910272 1042624 1276622 1563936 1914933 2553244 3127872 3829866 5106488 7021421 7659732 10212976 14042842 15319464 20425952 21064263 28085684 30638928 40851904 42128526 56171368 61277856 84257052 112342736 122555712 168514104 224685472 337028208 449370944 674056416 1348112832