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3850368 = 27337271
BaseRepresentation
bin1110101100000010000000
321020121201020
432230002000
51441202433
6214305440
744504364
oct16540200
97217636
103850368
11219a925
121358280
13a4a732
147232a4
15510cb3
hex3ac080

3850368 has 64 divisors (see below), whose sum is σ = 10542720. Its totient is φ = 1244160.

The previous prime is 3850339. The next prime is 3850373. The reversal of 3850368 is 8630583.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14073 + ... + 14343.

It is an arithmetic number, because the mean of its divisors is an integer number (164730).

Almost surely, 23850368 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 3850368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5271360).

3850368 is an abundant number, since it is smaller than the sum of its proper divisors (6692352).

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

3850368 is a wasteful number, since it uses less digits than its factorization.

3850368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 3850368 is about 1962.2354598773. The cubic root of 3850368 is about 156.7355142300.

The spelling of 3850368 in words is "three million, eight hundred fifty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 271 296 384 444 542 592 813 888 1084 1184 1626 1776 2168 2368 3252 3552 4336 4736 6504 7104 8672 10027 13008 14208 17344 20054 26016 30081 34688 40108 52032 60162 80216 104064 120324 160432 240648 320864 481296 641728 962592 1283456 1925184 3850368