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16344240 = 24351141151
BaseRepresentation
bin111110010110…
…010010110000
31010202101002020
4332112102300
513141003430
61342151440
7255631563
oct76262260
933671066
1016344240
119253740
125582580
133503463
1422564da
15167cb10
hexf964b0

16344240 has 160 divisors (see below), whose sum is σ = 56996352. Its totient is φ = 3840000.

The previous prime is 16344221. The next prime is 16344241. The reversal of 16344240 is 4244361.

16344240 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 16344240.

It is not an unprimeable number, because it can be changed into a prime (16344241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108165 + ... + 108315.

Almost surely, 216344240 is an apocalyptic number.

16344240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16344240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28498176).

16344240 is an abundant number, since it is smaller than the sum of its proper divisors (40652112).

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

16344240 is a wasteful number, since it uses less digits than its factorization.

16344240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 16344240 is about 4042.8010092014. The cubic root of 16344240 is about 253.7785492076.

The spelling of 16344240 in words is "sixteen million, three hundred forty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 41 44 48 55 60 66 80 82 88 110 120 123 132 151 164 165 176 205 220 240 246 264 302 328 330 410 440 451 453 492 528 604 615 656 660 755 820 880 902 906 984 1208 1230 1320 1353 1510 1640 1661 1804 1812 1968 2255 2265 2416 2460 2640 2706 3020 3280 3322 3608 3624 4510 4530 4920 4983 5412 6040 6191 6644 6765 7216 7248 8305 9020 9060 9840 9966 10824 12080 12382 13288 13530 16610 18040 18120 18573 19932 21648 24764 24915 26576 27060 30955 33220 36080 36240 37146 39864 49528 49830 54120 61910 66440 68101 74292 79728 92865 99056 99660 108240 123820 132880 136202 148584 185730 199320 204303 247640 272404 297168 340505 371460 398640 408606 495280 544808 681010 742920 817212 1021515 1089616 1362020 1485840 1634424 2043030 2724040 3268848 4086060 5448080 8172120 16344240