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98342664 = 23372331821
BaseRepresentation
bin1011101110010…
…01011100001000
320212001022202220
411313021130020
5200133431124
613431454040
72302620210
oct567113410
9225038686
1098342664
115056a332
1228b27320
13174b3334
14d0bd240
158978879
hex5dc9708

98342664 has 128 divisors (see below), whose sum is σ = 303022080. Its totient is φ = 25977600.

The previous prime is 98342611. The next prime is 98342693. The reversal of 98342664 is 46624389.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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, 119374 + ... + 120194.

It is an arithmetic number, because the mean of its divisors is an integer number (2367360).

Almost surely, 298342664 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 98342664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151511040).

98342664 is an abundant number, since it is smaller than the sum of its proper divisors (204679416).

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

98342664 is a wasteful number, since it uses less digits than its factorization.

98342664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891 (or 887 counting only the distinct ones).

The product of its digits is 248832, while the sum is 42.

The square root of 98342664 is about 9916.7869796623. The cubic root of 98342664 is about 461.5803614439.

The spelling of 98342664 in words is "ninety-eight million, three hundred forty-two thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 31 42 46 56 62 69 84 92 93 124 138 161 168 184 186 217 248 276 322 372 434 483 552 644 651 713 744 821 868 966 1288 1302 1426 1642 1736 1932 2139 2463 2604 2852 3284 3864 4278 4926 4991 5208 5704 5747 6568 8556 9852 9982 11494 14973 17112 17241 18883 19704 19964 22988 25451 29946 34482 37766 39928 45976 50902 56649 59892 68964 75532 76353 101804 113298 119784 132181 137928 151064 152706 178157 203608 226596 264362 305412 356314 396543 453192 528724 534471 585373 610824 712628 793086 1057448 1068942 1170746 1425256 1586172 1756119 2137884 2341492 3172344 3512238 4097611 4275768 4682984 7024476 8195222 12292833 14048952 16390444 24585666 32780888 49171332 98342664