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1345921248 = 253713115289
BaseRepresentation
bin101000000111001…
…0010000011100000
310110210120212212010
41100032102003200
510224023434443
6341315432520
745232066440
oct12016220340
93423525763
101345921248
11630812611
123168b5740
13185ac5a09
14caa76120
157d261733
hex503920e0

1345921248 has 96 divisors (see below), whose sum is σ = 4068852480. Its totient is φ = 381588480.

The previous prime is 1345921223. The next prime is 1345921261. The reversal of 1345921248 is 8421295431.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80388 + ... + 95676.

It is an arithmetic number, because the mean of its divisors is an integer number (42383880).

Almost surely, 21345921248 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 1345921248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2034426240).

1345921248 is an abundant number, since it is smaller than the sum of its proper divisors (2722931232).

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

1345921248 is a wasteful number, since it uses less digits than its factorization.

1345921248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15440 (or 15432 counting only the distinct ones).

The product of its digits is 69120, while the sum is 39.

The square root of 1345921248 is about 36686.7993698006. The cubic root of 1345921248 is about 1104.0952711313.

The spelling of 1345921248 in words is "one billion, three hundred forty-five million, nine hundred twenty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 131 168 224 262 336 393 524 672 786 917 1048 1572 1834 2096 2751 3144 3668 4192 5502 6288 7336 11004 12576 14672 15289 22008 29344 30578 44016 45867 61156 88032 91734 107023 122312 183468 214046 244624 321069 366936 428092 489248 642138 733872 856184 1284276 1467744 1712368 2002859 2568552 3424736 4005718 5137104 6008577 8011436 10274208 12017154 14020013 16022872 24034308 28040026 32045744 42060039 48068616 56080052 64091488 84120078 96137232 112160104 168240156 192274464 224320208 336480312 448640416 672960624 1345921248