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674785216 = 26717412161
BaseRepresentation
bin101000001110000…
…110011111000000
31202000201122022001
4220032012133000
52340221111331
6150542553344
722502402560
oct5016063700
91660648261
10674785216
11316998136
12169b98854
13a9a514c1
1465892da0
153e391561
hex283867c0

674785216 has 112 divisors (see below), whose sum is σ = 1660623552. Its totient is φ = 265420800.

The previous prime is 674785193. The next prime is 674785219. The reversal of 674785216 is 612587476.

It is a happy number.

674785216 is a nontrivial binomial coefficient, being equal to C(36737, 2).

It is a tau number, because it is divible by the number of its divisors (112).

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (674785219) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 311176 + ... + 313336.

It is an arithmetic number, because the mean of its divisors is an integer number (14826996).

Almost surely, 2674785216 is an apocalyptic number.

674785216 is the 36736-th triangular number.

674785216 is the 12246-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 674785216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830311776).

674785216 is an abundant number, since it is smaller than the sum of its proper divisors (985838336).

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

674785216 is a wasteful number, since it uses less digits than its factorization.

674785216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2238 (or 2228 counting only the distinct ones).

The product of its digits is 564480, while the sum is 46.

The square root of 674785216 is about 25976.6282646536. The cubic root of 674785216 is about 877.1122697823.

The spelling of 674785216 in words is "six hundred seventy-four million, seven hundred eighty-five thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 41 56 64 68 82 112 119 136 164 224 238 272 287 328 448 476 544 574 656 697 952 1088 1148 1312 1394 1904 2161 2296 2624 2788 3808 4322 4592 4879 5576 7616 8644 9184 9758 11152 15127 17288 18368 19516 22304 30254 34576 36737 39032 44608 60508 69152 73474 78064 88601 121016 138304 146948 156128 177202 242032 257159 293896 312256 354404 484064 514318 587792 620207 708808 968128 1028636 1175584 1240414 1417616 1506217 2057272 2351168 2480828 2835232 3012434 4114544 4961656 5670464 6024868 8229088 9923312 10543519 12049736 16458176 19846624 21087038 24099472 39693248 42174076 48198944 84348152 96397888 168696304 337392608 674785216