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674134272 = 2833713933
BaseRepresentation
bin101000001011100…
…111100100000000
31201222111120101000
4220023213210000
52340034244042
6150521012000
722464022020
oct5013474400
91658446330
10674134272
11316593069
12169924000
13a9884126
1465763a80
153e2b374c
hex282e7900

674134272 has 144 divisors (see below), whose sum is σ = 2278487680. Its totient is φ = 192595968.

The previous prime is 674134267. The next prime is 674134273. The reversal of 674134272 is 272431476.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (674134273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41418 + ... + 55350.

Almost surely, 2674134272 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 674134272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1139243840).

674134272 is an abundant number, since it is smaller than the sum of its proper divisors (1604353408).

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

674134272 is a wasteful number, since it uses less digits than its factorization.

674134272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13965 (or 13945 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 674134272 is about 25964.0958248116. The cubic root of 674134272 is about 876.8301382007.

The spelling of 674134272 in words is "six hundred seventy-four million, one hundred thirty-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 256 288 336 378 384 432 448 504 576 672 756 768 864 896 1008 1152 1344 1512 1728 1792 2016 2304 2688 3024 3456 4032 5376 6048 6912 8064 12096 13933 16128 24192 27866 41799 48384 55732 83598 97531 111464 125397 167196 195062 222928 250794 292593 334392 376191 390124 445856 501588 585186 668784 752382 780248 877779 891712 1003176 1170372 1337568 1504764 1560496 1755558 1783424 2006352 2340744 2633337 2675136 3009528 3120992 3511116 3566848 4012704 4681488 5266674 5350272 6019056 6241984 7022232 8025408 9362976 10533348 10700544 12038112 12483968 14044464 16050816 18725952 21066696 24076224 24967936 28088928 32101632 37451904 42133392 48152448 56177856 74903808 84266784 96304896 112355712 168533568 224711424 337067136 674134272