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1341883728 = 24325922677
BaseRepresentation
bin100111111111011…
…1000010101010000
310110111222202102100
41033332320111100
510222010234403
6341053120400
745152552313
oct11776702520
93414882370
101341883728
11629505119
12315489100
13185011053
14ca30497a
157cc152a3
hex4ffb8550

1341883728 has 90 divisors (see below), whose sum is σ = 3821567594. Its totient is φ = 439549056.

The previous prime is 1341883717. The next prime is 1341883771. The reversal of 1341883728 is 8273881431.

It can be written as a sum of positive squares in only one way, i.e., 762422544 + 579461184 = 27612^2 + 24072^2 .

It is a super-3 number, since 3×13418837283 (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 499926 + ... + 502602.

Almost surely, 21341883728 is an apocalyptic number.

1341883728 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 1341883728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1910783797).

1341883728 is an abundant number, since it is smaller than the sum of its proper divisors (2479683866).

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

1341883728 is a wasteful number, since it uses less digits than its factorization.

1341883728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2809 (or 2741 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 1341883728 is about 36631.7311630231. The cubic root of 1341883728 is about 1102.9901367046.

The spelling of 1341883728 in words is "one billion, three hundred forty-one million, eight hundred eighty-three thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 59 72 118 144 177 236 354 472 531 708 944 1062 1416 2124 2677 2832 3481 4248 5354 6962 8031 8496 10443 10708 13924 16062 20886 21416 24093 27848 31329 32124 41772 42832 48186 55696 62658 64248 83544 96372 125316 128496 157943 167088 192744 250632 315886 385488 473829 501264 631772 947658 1263544 1421487 1895316 2527088 2842974 3790632 5685948 7581264 9318637 11371896 18637274 22743792 27955911 37274548 55911822 74549096 83867733 111823644 149098192 167735466 223647288 335470932 447294576 670941864 1341883728