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1348149348 = 2232721358789
BaseRepresentation
bin101000001011011…
…0010000001100100
310110221210002020100
41100112302001210
510230111234343
6341435304100
745260036400
oct12026620144
93427702210
101348149348
11631aa4617
123175ab030
131863c5c10
14cb096100
157d5519d3
hex505b2064

1348149348 has 108 divisors (see below), whose sum is σ = 4269212220. Its totient is φ = 355549824.

The previous prime is 1348149307. The next prime is 1348149379. The reversal of 1348149348 is 8439418431.

It can be written as a sum of positive squares in 2 ways, for example, as 854509824 + 493639524 = 29232^2 + 22218^2 .

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 6463 + ... + 52326.

Almost surely, 21348149348 is an apocalyptic number.

1348149348 is a gapful number since it is divisible by the number (18) 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 1348149348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2134606110).

1348149348 is an abundant number, since it is smaller than the sum of its proper divisors (2921062872).

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

1348149348 is a wasteful number, since it uses less digits than its factorization.

1348149348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58826 (or 58814 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 1348149348 is about 36717.1533210297. The cubic root of 1348149348 is about 1104.7041919577.

The spelling of 1348149348 in words is "one billion, three hundred forty-eight million, one hundred forty-nine thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 49 52 63 78 84 91 98 117 126 147 156 182 196 234 252 273 294 364 441 468 546 588 637 819 882 1092 1274 1638 1764 1911 2548 3276 3822 5733 7644 11466 22932 58789 117578 176367 235156 352734 411523 529101 705468 764257 823046 1058202 1234569 1528514 1646092 2116404 2292771 2469138 2880661 3057028 3703707 4585542 4938276 5349799 5761322 6878313 7407414 8641983 9171084 10699598 11522644 13756626 14814828 16049397 17283966 21399196 25925949 27513252 32098794 34567932 37448593 48148191 51851898 64197588 74897186 96296382 103703796 112345779 149794372 192592764 224691558 337037337 449383116 674074674 1348149348