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7348383828 = 223426984313
BaseRepresentation
bin1101101011111111…
…10111000001010100
3200222010021120120000
412311333313001110
5110022141240303
63213101211300
7350046142362
oct66577670124
920863246500
107348383828
113130a75595
121510b60b30
13901544616
144d9d26632
152d01d3da3
hex1b5ff7054

7348383828 has 60 divisors (see below), whose sum is σ = 19281768660. Its totient is φ = 2440326528.

The previous prime is 7348383797. The next prime is 7348383829. The reversal of 7348383828 is 8283838437.

7348383828 is a `hidden beast` number, since 7 + 3 + 483 + 83 + 82 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3688375824 + 3660008004 = 60732^2 + 60498^2 .

It is a super-2 number, since 2×73483838282 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7348383829) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 45000 + ... + 129312.

It is an arithmetic number, because the mean of its divisors is an integer number (321362811).

Almost surely, 27348383828 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 7348383828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9640884330).

7348383828 is an abundant number, since it is smaller than the sum of its proper divisors (11933384832).

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

7348383828 is a wasteful number, since it uses less digits than its factorization.

7348383828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84598 (or 84587 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 54.

The square root of 7348383828 is about 85722.7147726902. The cubic root of 7348383828 is about 1944.1537658436.

The spelling of 7348383828 in words is "seven billion, three hundred forty-eight million, three hundred eighty-three thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 269 324 538 807 1076 1614 2421 3228 4842 7263 9684 14526 21789 29052 43578 84313 87156 168626 252939 337252 505878 758817 1011756 1517634 2276451 3035268 4552902 6829353 9105804 13658706 22680197 27317412 45360394 68040591 90720788 136081182 204121773 272162364 408243546 612365319 816487092 1224730638 1837095957 2449461276 3674191914 7348383828