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714768240 = 243523314177
BaseRepresentation
bin101010100110100…
…111111101110000
31211210221222200210
4222212213331300
52430440040430
6154531544120
723466300264
oct5246477560
91753858623
10714768240
11337516a5a
1217b45b040
13b51103b4
146ad000a4
1542b3d2b0
hex2a9a7f70

714768240 has 160 divisors (see below), whose sum is σ = 2387275776. Its totient is φ = 176394240.

The previous prime is 714768233. The next prime is 714768253. The reversal of 714768240 is 42867417.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 169032 + ... + 173208.

Almost surely, 2714768240 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 714768240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1193637888).

714768240 is an abundant number, since it is smaller than the sum of its proper divisors (1672507536).

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

714768240 is a wasteful number, since it uses less digits than its factorization.

714768240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4247 (or 4241 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The square root of 714768240 is about 26735.1498967184. The cubic root of 714768240 is about 894.1047777940.

The spelling of 714768240 in words is "seven hundred fourteen million, seven hundred sixty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 31 40 46 48 60 62 69 80 92 93 115 120 124 138 155 184 186 230 240 248 276 310 345 368 372 460 465 496 552 620 690 713 744 920 930 1104 1240 1380 1426 1488 1840 1860 2139 2480 2760 2852 3565 3720 4177 4278 5520 5704 7130 7440 8354 8556 10695 11408 12531 14260 16708 17112 20885 21390 25062 28520 33416 34224 41770 42780 50124 57040 62655 66832 83540 85560 96071 100248 125310 129487 167080 171120 192142 200496 250620 258974 288213 334160 384284 388461 480355 501240 517948 576426 647435 768568 776922 960710 1002480 1035896 1152852 1294870 1441065 1537136 1553844 1921420 1942305 2071792 2305704 2589740 2882130 2978201 3107688 3842840 3884610 4611408 5179480 5764260 5956402 6215376 7685680 7769220 8934603 10358960 11528520 11912804 14891005 15538440 17869206 23057040 23825608 29782010 31076880 35738412 44673015 47651216 59564020 71476824 89346030 119128040 142953648 178692060 238256080 357384120 714768240