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1344867328 = 21074547
BaseRepresentation
bin101000000101001…
…0000110000000000
310110201121100011001
41100022100300000
510223241223303
6341241101344
745220120000
oct12012206000
93421540131
101344867328
11630162802
12316487854
131858170ac
14ca880000
157d10431d
hex50290c00

1344867328 has 110 divisors (see below), whose sum is σ = 3142038556. Its totient is φ = 575318016.

The previous prime is 1344867317. The next prime is 1344867371. The reversal of 1344867328 is 8237684431.

It is a nialpdrome in base 14.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2458351 + ... + 2458897.

Almost surely, 21344867328 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 1344867328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1571019278).

1344867328 is an abundant number, since it is smaller than the sum of its proper divisors (1797171228).

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

1344867328 is an frugal number, since it uses more digits than its factorization.

1344867328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 556 counting only the distinct ones).

The product of its digits is 774144, while the sum is 46.

The square root of 1344867328 is about 36672.4328072191. The cubic root of 1344867328 is about 1103.8070096035.

The spelling of 1344867328 in words is "one billion, three hundred forty-four million, eight hundred sixty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 343 392 448 512 547 686 784 896 1024 1094 1372 1568 1792 2188 2401 2744 3136 3584 3829 4376 4802 5488 6272 7168 7658 8752 9604 10976 12544 15316 17504 19208 21952 25088 26803 30632 35008 38416 43904 50176 53606 61264 70016 76832 87808 107212 122528 140032 153664 175616 187621 214424 245056 280064 307328 351232 375242 428848 490112 560128 614656 750484 857696 980224 1229312 1313347 1500968 1715392 1960448 2458624 2626694 3001936 3430784 3920896 5253388 6003872 6861568 10506776 12007744 13723136 21013552 24015488 27446272 42027104 48030976 84054208 96061952 168108416 192123904 336216832 672433664 1344867328