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4070304 = 25337673
BaseRepresentation
bin1111100001101110100000
321122210102000
433201232200
52020222204
6223124000
746411530
oct17415640
97583360
104070304
112330097
121443600
13ac6884
1477d4c0
15556039
hex3e1ba0

4070304 has 96 divisors (see below), whose sum is σ = 13587840. Its totient is φ = 1161216.

The previous prime is 4070303. The next prime is 4070309. The reversal of 4070304 is 4030704.

4070304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (4070303) 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, 5712 + ... + 6384.

It is an arithmetic number, because the mean of its divisors is an integer number (141540).

Almost surely, 24070304 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 4070304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6793920).

4070304 is an abundant number, since it is smaller than the sum of its proper divisors (9517536).

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

4070304 is a wasteful number, since it uses less digits than its factorization.

4070304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 4070304 is about 2017.4994423791. The cubic root of 4070304 is about 159.6647145554.

4070304 divided by its sum of digits (18) gives a triangular number (226128 = T672).

The spelling of 4070304 in words is "four million, seventy thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 673 756 864 1008 1346 1512 2016 2019 2692 3024 4038 4711 5384 6048 6057 8076 9422 10768 12114 14133 16152 18171 18844 21536 24228 28266 32304 36342 37688 42399 48456 56532 64608 72684 75376 84798 96912 113064 127197 145368 150752 169596 193824 226128 254394 290736 339192 452256 508788 581472 678384 1017576 1356768 2035152 4070304