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1341528048 = 243372711637
BaseRepresentation
bin100111111110110…
…0001011111110000
310110111022200112000
41033331201133300
510221412344143
6341041334000
745146541330
oct11775413760
93414280460
101341528048
11629291973
12315337300
13184c181a3
14ca2510c0
157cb94bd3
hex4ff617f0

1341528048 has 160 divisors (see below), whose sum is σ = 4419717120. Its totient is φ = 381646080.

The previous prime is 1341528047. The next prime is 1341528049. The reversal of 1341528048 is 8408251431.

It is an interprime number because it is at equal distance from previous prime (1341528047) and next prime (1341528049).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1341528047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 818686 + ... + 820322.

It is an arithmetic number, because the mean of its divisors is an integer number (27623232).

Almost surely, 21341528048 is an apocalyptic number.

1341528048 is a gapful number since it is divisible by the number (18) 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 1341528048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2209858560).

1341528048 is an abundant number, since it is smaller than the sum of its proper divisors (3078189072).

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

1341528048 is a wasteful number, since it uses less digits than its factorization.

1341528048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1932 (or 1920 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 1341528048 is about 36626.8760338634. The cubic root of 1341528048 is about 1102.8926751559.

Adding to 1341528048 its reverse (8408251431), we get a palindrome (9749779479).

The spelling of 1341528048 in words is "one billion, three hundred forty-one million, five hundred twenty-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 271 336 378 432 504 542 756 813 1008 1084 1512 1626 1637 1897 2168 2439 3024 3252 3274 3794 4336 4878 4911 5691 6504 6548 7317 7588 9756 9822 11382 11459 13008 13096 14634 14733 15176 17073 19512 19644 22764 22918 26192 29268 29466 30352 34146 34377 39024 39288 44199 45528 45836 51219 58536 58932 68292 68754 78576 88398 91056 91672 102438 103131 117072 117864 136584 137508 176796 183344 204876 206262 235728 273168 275016 309393 353592 409752 412524 443627 550032 618786 707184 819504 825048 887254 1237572 1330881 1650096 1774508 2475144 2661762 3105389 3549016 3992643 4950288 5323524 6210778 7098032 7985286 9316167 10647048 11977929 12421556 15970572 18632334 21294096 23955858 24843112 27948501 31941144 37264668 47911716 49686224 55897002 63882288 74529336 83845503 95823432 111794004 149058672 167691006 191646864 223588008 335382012 447176016 670764024 1341528048