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1346131488 = 253132322039
BaseRepresentation
bin101000000111100…
…0101011000100000
310110210222120020210
41100033011120200
510224102201423
6341324134120
745233633412
oct12017053040
93423876223
101346131488
11630946569
12316997340
13185b6a610
14caacc9b2
157d2a3b93
hex503c5620

1346131488 has 144 divisors (see below), whose sum is σ = 3980007360. Its totient is φ = 395991552.

The previous prime is 1346131477. The next prime is 1346131489. The reversal of 1346131488 is 8841316431.

It is a Harshad number since it is a multiple of its sum of digits (39).

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

It is not an unprimeable number, because it can be changed into a prime (1346131489) 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 23 ways as a sum of consecutive naturals, for example, 659173 + ... + 661211.

It is an arithmetic number, because the mean of its divisors is an integer number (27638940).

Almost surely, 21346131488 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 1346131488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1990003680).

1346131488 is an abundant number, since it is smaller than the sum of its proper divisors (2633875872).

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

1346131488 is a wasteful number, since it uses less digits than its factorization.

1346131488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2111 (or 2080 counting only the distinct ones).

The product of its digits is 55296, while the sum is 39.

The square root of 1346131488 is about 36689.6645937245. The cubic root of 1346131488 is about 1104.1527566404.

The spelling of 1346131488 in words is "one billion, three hundred forty-six million, one hundred thirty-one thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 32 39 46 48 52 69 78 92 96 104 138 156 184 208 276 299 312 368 416 529 552 598 624 736 897 1058 1104 1196 1248 1587 1794 2039 2116 2208 2392 3174 3588 4078 4232 4784 6117 6348 6877 7176 8156 8464 9568 12234 12696 13754 14352 16312 16928 20631 24468 25392 26507 27508 28704 32624 41262 46897 48936 50784 53014 55016 65248 79521 82524 93794 97872 106028 110032 140691 159042 165048 187588 195744 212056 220064 281382 318084 330096 375176 424112 562764 609661 636168 660192 750352 848224 1078631 1125528 1219322 1272336 1500704 1828983 2157262 2251056 2438644 2544672 3235893 3657966 4314524 4502112 4877288 6471786 7315932 8629048 9754576 12943572 14022203 14631864 17258096 19509152 25887144 28044406 29263728 34516192 42066609 51774288 56088812 58527456 84133218 103548576 112177624 168266436 224355248 336532872 448710496 673065744 1346131488