Search a number
-
+
1345430352 = 24379741281
BaseRepresentation
bin101000000110001…
…1010001101010000
310110202122221110210
41100030122031100
510223412232402
6341301124120
745224653320
oct12014321520
93422587423
101345430352
11630507812
123166b9640
13185983446
14ca989280
157d1b606c
hex5031a350

1345430352 has 80 divisors (see below), whose sum is σ = 4013270912. Its totient is φ = 380436480.

The previous prime is 1345430341. The next prime is 1345430353. The reversal of 1345430352 is 2530345431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1345430353) 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, 11952 + ... + 53232.

Almost surely, 21345430352 is an apocalyptic number.

1345430352 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 1345430352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2006635456).

1345430352 is an abundant number, since it is smaller than the sum of its proper divisors (2667840560).

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

1345430352 is a wasteful number, since it uses less digits than its factorization.

1345430352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41396 (or 41390 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The square root of 1345430352 is about 36680.1083967864. The cubic root of 1345430352 is about 1103.9610230936.

Adding to 1345430352 its reverse (2530345431), we get a palindrome (3875775783).

The spelling of 1345430352 in words is "one billion, three hundred forty-five million, four hundred thirty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 97 112 168 194 291 336 388 582 679 776 1164 1358 1552 2037 2328 2716 4074 4656 5432 8148 10864 16296 32592 41281 82562 123843 165124 247686 288967 330248 495372 577934 660496 866901 990744 1155868 1733802 1981488 2311736 3467604 4004257 4623472 6935208 8008514 12012771 13870416 16017028 24025542 28029799 32034056 48051084 56059598 64068112 84089397 96102168 112119196 168178794 192204336 224238392 336357588 448476784 672715176 1345430352