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674112096 = 253271917599
BaseRepresentation
bin101000001011100…
…010001001100000
31201222110102221200
4220023202021200
52340033041341
6150520321200
722463600250
oct5013421140
91658412850
10674112096
11316578439
12169913200
13a9876cc8
1465759960
153e2abdb6
hex282e2260

674112096 has 144 divisors (see below), whose sum is σ = 2306304000. Its totient is φ = 182456064.

The previous prime is 674112071. The next prime is 674112107. The reversal of 674112096 is 690211476.

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 self number, because there is not a number n which added to its sum of digits gives 674112096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29505 + ... + 47103.

It is an arithmetic number, because the mean of its divisors is an integer number (16016000).

Almost surely, 2674112096 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 674112096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1153152000).

674112096 is an abundant number, since it is smaller than the sum of its proper divisors (1632191904).

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

674112096 is a wasteful number, since it uses less digits than its factorization.

674112096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17641 (or 17630 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 674112096 is about 25963.6687700333. The cubic root of 674112096 is about 876.8205234997.

The spelling of 674112096 in words is "six hundred seventy-four million, one hundred twelve thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 32 36 38 42 48 56 57 63 72 76 84 96 112 114 126 133 144 152 168 171 224 228 252 266 288 304 336 342 399 456 504 532 608 672 684 798 912 1008 1064 1197 1368 1596 1824 2016 2128 2394 2736 3192 4256 4788 5472 6384 9576 12768 17599 19152 35198 38304 52797 70396 105594 123193 140792 158391 211188 246386 281584 316782 334381 369579 422376 492772 563168 633564 668762 739158 844752 985544 1003143 1108737 1267128 1337524 1478316 1689504 1971088 2006286 2217474 2340667 2534256 2675048 2956632 3009429 3942176 4012572 4434948 4681334 5068512 5350096 5913264 6018858 7022001 8025144 8869896 9362668 10700192 11826528 12037716 14044002 16050288 17739792 18725336 21066003 24075432 28088004 32100576 35479584 37450672 42132006 48150864 56176008 74901344 84264012 96301728 112352016 168528024 224704032 337056048 674112096