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3071705328 = 243414915907
BaseRepresentation
bin1011011100010110…
…1000000011110000
321221001221210120000
42313011220003300
522242324032303
61224445150000
7136056031056
oct26705500360
97831853500
103071705328
11133699674a
1271885b300
1339c4cc323
14211d501d6
1512ea09da3
hexb71680f0

3071705328 has 100 divisors (see below), whose sum is σ = 8950636200. Its totient is φ = 1016966016.

The previous prime is 3071705323. The next prime is 3071705381. The reversal of 3071705328 is 8235071703.

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 = 3071705292 and 3071705301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3071705323) 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, 185151 + ... + 201057.

It is an arithmetic number, because the mean of its divisors is an integer number (89506362).

Almost surely, 23071705328 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 3071705328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4475318100).

3071705328 is an abundant number, since it is smaller than the sum of its proper divisors (5878930872).

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

3071705328 is a wasteful number, since it uses less digits than its factorization.

3071705328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16076 (or 16061 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 3071705328 is about 55422.9675134777. The cubic root of 3071705328 is about 1453.6499923490.

The spelling of 3071705328 in words is "three billion, seventy-one million, seven hundred five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 149 162 216 298 324 432 447 596 648 894 1192 1296 1341 1788 2384 2682 3576 4023 5364 7152 8046 10728 12069 15907 16092 21456 24138 31814 32184 47721 48276 63628 64368 95442 96552 127256 143163 190884 193104 254512 286326 381768 429489 572652 763536 858978 1145304 1288467 1717956 2290608 2370143 2576934 3435912 4740286 5153868 6871824 7110429 9480572 10307736 14220858 18961144 20615472 21331287 28441716 37922288 42662574 56883432 63993861 85325148 113766864 127987722 170650296 191981583 255975444 341300592 383963166 511950888 767926332 1023901776 1535852664 3071705328