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3830376 = 2331121319
BaseRepresentation
bin1110100111001001101000
321012121021210
432213021220
51440033001
6214033120
744362164
oct16471150
97177253
103830376
112186900
1213487a0
13a415c4
14719ca4
15509dd6
hex3a7268

3830376 has 48 divisors (see below), whose sum is σ = 10533600. Its totient is φ = 1159840.

The previous prime is 3830371. The next prime is 3830377. The reversal of 3830376 is 6730383.

3830376 = 512 + 522 + ... + 2262.

It is a happy number.

3830376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3830371) 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 11 ways as a sum of consecutive naturals, for example, 2245 + ... + 3563.

It is an arithmetic number, because the mean of its divisors is an integer number (219450).

Almost surely, 23830376 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 3830376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5266800).

3830376 is an abundant number, since it is smaller than the sum of its proper divisors (6703224).

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

3830376 is a wasteful number, since it uses less digits than its factorization.

3830376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350 (or 1335 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 3830376 is about 1957.1346402330. The cubic root of 3830376 is about 156.4637743766.

The spelling of 3830376 in words is "three million, eight hundred thirty thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 242 264 363 484 726 968 1319 1452 2638 2904 3957 5276 7914 10552 14509 15828 29018 31656 43527 58036 87054 116072 159599 174108 319198 348216 478797 638396 957594 1276792 1915188 3830376