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3850440 = 2335112917
BaseRepresentation
bin1110101100000011001000
321020121210220
432230003020
51441203230
6214310040
744504526
oct16540310
97217726
103850440
11219a990
121358320
13a4a789
14723316
15510d10
hex3ac0c8

3850440 has 64 divisors (see below), whose sum is σ = 12605760. Its totient is φ = 933120.

The previous prime is 3850421. The next prime is 3850459. The reversal of 3850440 is 440583.

It is a happy number.

3850440 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3850421) and next prime (3850459).

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 3850440.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139 + ... + 2778.

It is an arithmetic number, because the mean of its divisors is an integer number (196965).

Almost surely, 23850440 is an apocalyptic number.

3850440 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 3850440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6302880).

3850440 is an abundant number, since it is smaller than the sum of its proper divisors (8755320).

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

3850440 is a wasteful number, since it uses less digits than its factorization.

3850440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2942 (or 2938 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 3850440 is about 1962.2538062137. The cubic root of 3850440 is about 156.7364911831.

The spelling of 3850440 in words is "three million, eight hundred fifty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 2917 5834 8751 11668 14585 17502 23336 29170 32087 35004 43755 58340 64174 70008 87510 96261 116680 128348 160435 175020 192522 256696 320870 350040 385044 481305 641740 770088 962610 1283480 1925220 3850440