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8413314 = 2371319811
BaseRepresentation
bin100000000110…
…000010000010
3120211102220020
4200012002002
54123211224
6500154310
7131340420
oct40060202
916742806
108413314
114827058
122998996
1319875c0
141190110
15b12c79
hex806082

8413314 has 64 divisors (see below), whose sum is σ = 21826560. Its totient is φ = 2099520.

The previous prime is 8413313. The next prime is 8413373. The reversal of 8413314 is 4133148.

It is not an unprimeable number, because it can be changed into a prime (8413313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9969 + ... + 10779.

It is an arithmetic number, because the mean of its divisors is an integer number (341040).

Almost surely, 28413314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8413314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10913280).

8413314 is an abundant number, since it is smaller than the sum of its proper divisors (13413246).

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

8413314 is a wasteful number, since it uses less digits than its factorization.

8413314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855.

The product of its digits is 1152, while the sum is 24.

The square root of 8413314 is about 2900.5713230328. The cubic root of 8413314 is about 203.3866138853.

The spelling of 8413314 in words is "eight million, four hundred thirteen thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 13 14 19 21 26 38 39 42 57 78 91 114 133 182 247 266 273 399 494 546 741 798 811 1482 1622 1729 2433 3458 4866 5187 5677 10374 10543 11354 15409 17031 21086 30818 31629 34062 46227 63258 73801 92454 107863 147602 200317 215726 221403 323589 400634 442806 600951 647178 1201902 1402219 2804438 4206657 8413314