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3945240 = 2333513281
BaseRepresentation
bin1111000011001100011000
321102102212000
433003030120
52002221430
6220321000
745351105
oct17031430
97372760
103945240
112255132
1213a3160
13a81980
14749aac
1552de60
hex3c3318

3945240 has 128 divisors (see below), whose sum is σ = 14212800. Its totient is φ = 967680.

The previous prime is 3945233. The next prime is 3945287. The reversal of 3945240 is 425493.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13900 + ... + 14180.

Almost surely, 23945240 is an apocalyptic number.

3945240 is a gapful number since it is divisible by the number (30) 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 3945240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7106400).

3945240 is an abundant number, since it is smaller than the sum of its proper divisors (10267560).

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

3945240 is a wasteful number, since it uses less digits than its factorization.

3945240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 3945240 is about 1986.2628224885. The cubic root of 3945240 is about 158.0123902050.

The spelling of 3945240 in words is "three million, nine hundred forty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 90 104 108 117 120 130 135 156 180 195 216 234 260 270 281 312 351 360 390 468 520 540 562 585 702 780 843 936 1080 1124 1170 1404 1405 1560 1686 1755 2248 2340 2529 2808 2810 3372 3510 3653 4215 4680 5058 5620 6744 7020 7306 7587 8430 10116 10959 11240 12645 14040 14612 15174 16860 18265 20232 21918 25290 29224 30348 32877 33720 36530 37935 43836 50580 54795 60696 65754 73060 75870 87672 98631 101160 109590 131508 146120 151740 164385 197262 219180 263016 303480 328770 394524 438360 493155 657540 789048 986310 1315080 1972620 3945240