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3438048 = 25359607
BaseRepresentation
bin1101000111010111100000
320110200010010
431013113200
51340004143
6201404520
741136315
oct15072740
96420103
103438048
111a39069
121199740
13934b63
14656d0c
1547da33
hex3475e0

3438048 has 48 divisors (see below), whose sum is σ = 9192960. Its totient is φ = 1124736.

The previous prime is 3438047. The next prime is 3438049. The reversal of 3438048 is 8408343.

3438048 is digitally balanced in base 2, 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 (3438047) and next prime (3438049).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3438041) 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 7 ways as a sum of consecutive naturals, for example, 5361 + ... + 5967.

It is an arithmetic number, because the mean of its divisors is an integer number (191520).

Almost surely, 23438048 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 3438048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4596480).

3438048 is an abundant number, since it is smaller than the sum of its proper divisors (5754912).

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

3438048 is a wasteful number, since it uses less digits than its factorization.

3438048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 3438048 is about 1854.1974004943. The cubic root of 3438048 is about 150.9282878054.

The spelling of 3438048 in words is "three million, four hundred thirty-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 96 118 177 236 354 472 607 708 944 1214 1416 1821 1888 2428 2832 3642 4856 5664 7284 9712 14568 19424 29136 35813 58272 71626 107439 143252 214878 286504 429756 573008 859512 1146016 1719024 3438048