Search a number
-
+
3830440 = 2351743131
BaseRepresentation
bin1110100111001010101000
321012121101011
432213022220
51440033230
6214033304
744362315
oct16471250
97177334
103830440
112186959
121348834
13a41643
14719d0c
15509e2a
hex3a72a8

3830440 has 64 divisors (see below), whose sum is σ = 9408960. Its totient is φ = 1397760.

The previous prime is 3830429. The next prime is 3830441. The reversal of 3830440 is 440383.

3830440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (3830441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29175 + ... + 29305.

It is an arithmetic number, because the mean of its divisors is an integer number (147015).

Almost surely, 23830440 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 3830440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4704480).

3830440 is an abundant number, since it is smaller than the sum of its proper divisors (5578520).

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

3830440 is a wasteful number, since it uses less digits than its factorization.

3830440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 3830440 is about 1957.1509905983. The cubic root of 3830440 is about 156.4646457989.

The spelling of 3830440 in words is "three million, eight hundred thirty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 43 68 85 86 131 136 170 172 215 262 340 344 430 524 655 680 731 860 1048 1310 1462 1720 2227 2620 2924 3655 4454 5240 5633 5848 7310 8908 11135 11266 14620 17816 22270 22532 28165 29240 44540 45064 56330 89080 95761 112660 191522 225320 383044 478805 766088 957610 1915220 3830440