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87344028 = 223317113421
BaseRepresentation
bin1010011010011…
…00001110011100
320002100112111000
411031030032130
5134330002103
612400030300
72110261212
oct515141634
9202315430
1087344028
1145337952
1225302390
1315132075
14b858cb2
157a04aa3
hex534c39c

87344028 has 96 divisors (see below), whose sum is σ = 242464320. Its totient is φ = 27095040.

The previous prime is 87344021. The next prime is 87344029. The reversal of 87344028 is 82044378.

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 = 87343983 and 87344001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87344021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 207258 + ... + 207678.

It is an arithmetic number, because the mean of its divisors is an integer number (2525670).

Almost surely, 287344028 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 87344028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121232160).

87344028 is an abundant number, since it is smaller than the sum of its proper divisors (155120292).

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

87344028 is a wasteful number, since it uses less digits than its factorization.

87344028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 87344028 is about 9345.8026942580. The cubic root of 87344028 is about 443.6880570021.

The spelling of 87344028 in words is "eighty-seven million, three hundred forty-four thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 113 153 204 226 306 339 421 452 459 612 678 842 918 1017 1263 1356 1684 1836 1921 2034 2526 3051 3789 3842 4068 5052 5763 6102 7157 7578 7684 11367 11526 12204 14314 15156 17289 21471 22734 23052 28628 34578 42942 45468 47573 51867 64413 69156 85884 95146 103734 128826 142719 190292 193239 207468 257652 285438 386478 428157 570876 772956 808741 856314 1284471 1617482 1712628 2426223 2568942 3234964 4852446 5137884 7278669 9704892 14557338 21836007 29114676 43672014 87344028