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1350315344 = 24725332497
BaseRepresentation
bin101000001111100…
…0010110101010000
310111002212010102102
41100133002311100
510231140042334
6341553535532
745314330300
oct12037026520
93432763372
101350315344
116332439a4
123182745a8
131869a3a81
14cb49b600
157d82d67e
hex507c2d50

1350315344 has 60 divisors (see below), whose sum is σ = 3100894164. Its totient is φ = 567770112.

The previous prime is 1350315301. The next prime is 1350315367. The reversal of 1350315344 is 4435130531.

It can be written as a sum of positive squares in 2 ways, for example, as 1044065344 + 306250000 = 32312^2 + 17500^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25304 + ... + 57800.

Almost surely, 21350315344 is an apocalyptic number.

1350315344 is a gapful number since it is divisible by the number (14) 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 1350315344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1550447082).

1350315344 is an abundant number, since it is smaller than the sum of its proper divisors (1750578820).

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

1350315344 is a wasteful number, since it uses less digits than its factorization.

1350315344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32572 (or 32559 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 29.

The square root of 1350315344 is about 36746.6371794753. The cubic root of 1350315344 is about 1105.2954975021.

Adding to 1350315344 its reverse (4435130531), we get a palindrome (5785445875).

The spelling of 1350315344 in words is "one billion, three hundred fifty million, three hundred fifteen thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 49 53 56 98 106 112 196 212 371 392 424 742 784 848 1484 2597 2968 5194 5936 10388 20776 32497 41552 64994 129988 227479 259976 454958 519952 909916 1592353 1722341 1819832 3184706 3444682 3639664 6369412 6889364 12056387 12738824 13778728 24112774 25477648 27557456 48225548 84394709 96451096 168789418 192902192 337578836 675157672 1350315344