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8342208 = 263272069
BaseRepresentation
bin11111110100101011000000
3120200211100200
4133310223000
54113422313
6454445200
7130623210
oct37645300
916624320
108342208
114788696
122963800
131961124
141172240
15aebb73
hex7f4ac0

8342208 has 84 divisors (see below), whose sum is σ = 27340560. Its totient is φ = 2382336.

The previous prime is 8342203. The next prime is 8342219. The reversal of 8342208 is 8022438.

It is a tau number, because it is divible by the number of its divisors (84).

It is not an unprimeable number, because it can be changed into a prime (8342203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2998 + ... + 5066.

Almost surely, 28342208 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 8342208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13670280).

8342208 is an abundant number, since it is smaller than the sum of its proper divisors (18998352).

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

8342208 is a wasteful number, since it uses less digits than its factorization.

8342208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2094 (or 2081 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 8342208 is about 2888.2880742751. The cubic root of 8342208 is about 202.8120110062.

The spelling of 8342208 in words is "eight million, three hundred forty-two thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 2069 4032 4138 6207 8276 12414 14483 16552 18621 24828 28966 33104 37242 43449 49656 57932 66208 74484 86898 99312 115864 130347 132416 148968 173796 198624 231728 260694 297936 347592 397248 463456 521388 595872 695184 926912 1042776 1191744 1390368 2085552 2780736 4171104 8342208