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673136814 = 23732314221
BaseRepresentation
bin101000000111110…
…100000010101110
31201220121220010010
4220013310002232
52334310334224
6150443354050
722452366000
oct5007640256
91656556103
10673136814
11315a71719
12169522926
13a95c510c
1465584370
153e167e29
hex281f40ae

673136814 has 64 divisors (see below), whose sum is σ = 1638374400. Its totient is φ = 183949920.

The previous prime is 673136813. The next prime is 673136831. The reversal of 673136814 is 418631376.

It is a super-2 number, since 2×6731368142 = 906226340724141192, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (673136813) 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, 40224 + ... + 54444.

It is an arithmetic number, because the mean of its divisors is an integer number (25599600).

Almost surely, 2673136814 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 673136814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819187200).

673136814 is an abundant number, since it is smaller than the sum of its proper divisors (965237586).

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

673136814 is a wasteful number, since it uses less digits than its factorization.

673136814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14270 (or 14256 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 673136814 is about 25944.8803042142. The cubic root of 673136814 is about 876.3974682394.

The spelling of 673136814 in words is "six hundred seventy-three million, one hundred thirty-six thousand, eight hundred fourteen".

Divisors: 1 2 3 6 7 14 21 23 42 46 49 69 98 138 147 161 294 322 343 483 686 966 1029 1127 2058 2254 3381 6762 7889 14221 15778 23667 28442 42663 47334 85326 99547 199094 298641 327083 597282 654166 696829 981249 1393658 1962498 2090487 2289581 4180974 4579162 4877803 6868743 9755606 13737486 14633409 16027067 29266818 32054134 48081201 96162402 112189469 224378938 336568407 673136814