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3842480 = 245431117
BaseRepresentation
bin1110101010000110110000
321020012220002
432222012300
51440424410
6214205132
744442365
oct16520660
97205802
103842480
112194a04
1213537a8
13a46c75
1472046c
1550d7a5
hex3aa1b0

3842480 has 40 divisors (see below), whose sum is σ = 9149712. Its totient is φ = 1499904.

The previous prime is 3842431. The next prime is 3842483. The reversal of 3842480 is 842483.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (3842483) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2882 + ... + 3998.

Almost surely, 23842480 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 3842480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4574856).

3842480 is an abundant number, since it is smaller than the sum of its proper divisors (5307232).

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

3842480 is a wasteful number, since it uses less digits than its factorization.

3842480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1173 (or 1167 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

The square root of 3842480 is about 1960.2244769414. The cubic root of 3842480 is about 156.6284097523.

It can be divided in two parts, 3842 and 480, that multiplied together give a triangular number (1844160 = T1920).

The spelling of 3842480 in words is "three million, eight hundred forty-two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 172 215 344 430 688 860 1117 1720 2234 3440 4468 5585 8936 11170 17872 22340 44680 48031 89360 96062 192124 240155 384248 480310 768496 960620 1921240 3842480