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2381604012 = 2233371513947
BaseRepresentation
bin1000110111110100…
…0110010010101100
320010222102000112000
42031331012102230
514334142312022
61032154012300
7113006204634
oct21575062254
96128360460
102381604012
111012398387
12565717090
132bc547658
141884316c4
15de1406ac
hex8df464ac

2381604012 has 96 divisors (see below), whose sum is σ = 6385021440. Its totient is φ = 767102400.

The previous prime is 2381604011. The next prime is 2381604013. The reversal of 2381604012 is 2104061832.

2381604012 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2381604011) and next prime (2381604013).

It is a super-2 number, since 2×23816040122 = 11344075339948992288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2381604011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 601423 + ... + 605369.

It is an arithmetic number, because the mean of its divisors is an integer number (66510640).

Almost surely, 22381604012 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 2381604012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3192510720).

2381604012 is an abundant number, since it is smaller than the sum of its proper divisors (4003417428).

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

2381604012 is a wasteful number, since it uses less digits than its factorization.

2381604012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4148 (or 4140 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2381604012 is about 48801.6804218871. The cubic root of 2381604012 is about 1335.4363224725.

Adding to 2381604012 its reverse (2104061832), we get a palindrome (4485665844).

The spelling of 2381604012 in words is "two billion, three hundred eighty-one million, six hundred four thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 108 111 148 151 222 302 333 444 453 604 666 906 999 1332 1359 1812 1998 2718 3947 3996 4077 5436 5587 7894 8154 11174 11841 15788 16308 16761 22348 23682 33522 35523 47364 50283 67044 71046 100566 106569 142092 146039 150849 201132 213138 292078 301698 426276 438117 584156 595997 603396 876234 1191994 1314351 1752468 1787991 2383988 2628702 3575982 3943053 5257404 5363973 7151964 7886106 10727946 15772212 16091919 21455892 22051889 32183838 44103778 64367676 66155667 88207556 132311334 198467001 264622668 396934002 595401003 793868004 1190802006 2381604012