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1335803328 = 26328327941
BaseRepresentation
bin100111110011110…
…1011110111000000
310110002112211200100
41033213223313000
510213431201303
6340314522400
745050066226
oct11747536700
93402484610
101335803328
116260318a2
12313436400
13183992592
14c95a0b16
157c4138a3
hex4f9ebdc0

1335803328 has 84 divisors (see below), whose sum is σ = 3875108328. Its totient is φ = 439887360.

The previous prime is 1335803279. The next prime is 1335803333. The reversal of 1335803328 is 8233085331.

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

It is a junction number, because it is equal to n+sod(n) for n = 1335803292 and 1335803301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33838 + ... + 61778.

It is an arithmetic number, because the mean of its divisors is an integer number (46132242).

Almost surely, 21335803328 is an apocalyptic number.

1335803328 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 1335803328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1937554164).

1335803328 is an abundant number, since it is smaller than the sum of its proper divisors (2539305000).

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

1335803328 is a wasteful number, since it uses less digits than its factorization.

1335803328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28042 (or 28029 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 1335803328 is about 36548.6433127141. The cubic root of 1335803328 is about 1101.3216422741.

Adding to 1335803328 its reverse (8233085331), we get a palindrome (9568888659).

The spelling of 1335803328 in words is "one billion, three hundred thirty-five million, eight hundred three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 83 96 144 166 192 249 288 332 498 576 664 747 996 1328 1494 1992 2656 2988 3984 5312 5976 7968 11952 15936 23904 27941 47808 55882 83823 111764 167646 223528 251469 335292 447056 502938 670584 894112 1005876 1341168 1788224 2011752 2319103 2682336 4023504 4638206 5364672 6957309 8047008 9276412 13914618 16094016 18552824 20871927 27829236 37105648 41743854 55658472 74211296 83487708 111316944 148422592 166975416 222633888 333950832 445267776 667901664 1335803328