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1328041024 = 26192471223
BaseRepresentation
bin100111100101000…
…0100110001000000
310102112221110210121
41033022010301000
510204434303044
6335440310024
744624106502
oct11712046100
93375843717
101328041024
1162170a972
12310912314
131821a53bb
14c853dd72
157b8cd984
hex4f284c40

1328041024 has 84 divisors (see below), whose sum is σ = 2842833024. Its totient is φ = 615184128.

The previous prime is 1328041009. The next prime is 1328041063. The reversal of 1328041024 is 4201408231.

It is a super-2 number, since 2×13280410242 = 3527385922853937152, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1328041024.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1085277 + ... + 1086499.

Almost surely, 21328041024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1328041024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1421416512).

1328041024 is an abundant number, since it is smaller than the sum of its proper divisors (1514792000).

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

1328041024 is a wasteful number, since it uses less digits than its factorization.

1328041024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320 (or 1291 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 1328041024 is about 36442.2971833555. The cubic root of 1328041024 is about 1099.1842502936.

Adding to 1328041024 its reverse (4201408231), we get a palindrome (5529449255).

The spelling of 1328041024 in words is "one billion, three hundred twenty-eight million, forty-one thousand, twenty-four".

Divisors: 1 2 4 8 16 19 32 38 47 64 76 94 152 188 304 361 376 608 722 752 893 1216 1223 1444 1504 1786 2446 2888 3008 3572 4892 5776 7144 9784 11552 14288 16967 19568 23104 23237 28576 33934 39136 46474 57152 57481 67868 78272 92948 114962 135736 185896 229924 271472 371792 441503 459848 542944 743584 883006 919696 1085888 1092139 1487168 1766012 1839392 2184278 3532024 3678784 4368556 7064048 8737112 14128096 17474224 20750641 28256192 34948448 41501282 69896896 83002564 166005128 332010256 664020512 1328041024