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8405334 = 2327193511
BaseRepresentation
bin100000000100…
…000101010110
3120211000221200
4200010011112
54122432314
6500053330
7131305230
oct40040526
916730850
108405334
114821063
122994246
131983a92
14118b250
15b10709
hex804156

8405334 has 48 divisors (see below), whose sum is σ = 21914880. Its totient is φ = 2274480.

The previous prime is 8405333. The next prime is 8405347. The reversal of 8405334 is 4335048.

It is a happy number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 8405298 and 8405307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8405333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 639 + ... + 4149.

It is an arithmetic number, because the mean of its divisors is an integer number (456560).

Almost surely, 28405334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8405334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10957440).

8405334 is an abundant number, since it is smaller than the sum of its proper divisors (13509546).

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

8405334 is a wasteful number, since it uses less digits than its factorization.

8405334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3545 (or 3542 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 8405334 is about 2899.1954056255. The cubic root of 8405334 is about 203.3222897045.

The spelling of 8405334 in words is "eight million, four hundred five thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 57 63 114 126 133 171 266 342 399 798 1197 2394 3511 7022 10533 21066 24577 31599 49154 63198 66709 73731 133418 147462 200127 221193 400254 442386 466963 600381 933926 1200762 1400889 2801778 4202667 8405334