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1074304 = 27711109
BaseRepresentation
bin100000110010010000000
32000120200001
410012102000
5233334204
635005344
712063040
oct4062200
92016601
101074304
11674160
12439854
132b7caa
141dd720
151634a4
hex106480

1074304 has 64 divisors (see below), whose sum is σ = 2692800. Its totient is φ = 414720.

The previous prime is 1074299. The next prime is 1074329. The reversal of 1074304 is 4034701.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×10743043 = 3719656475713339392, which contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9802 + ... + 9910.

It is an arithmetic number, because the mean of its divisors is an integer number (42075).

21074304 is an apocalyptic number.

1074304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1074304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1346400).

1074304 is an abundant number, since it is smaller than the sum of its proper divisors (1618496).

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

1074304 is a wasteful number, since it uses less digits than its factorization.

1074304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 1074304 is about 1036.4863723176. The cubic root of 1074304 is about 102.4178679758.

It can be divided in two parts, 1074 and 304, that added together give a triangular number (1378 = T52).

The spelling of 1074304 in words is "one million, seventy-four thousand, three hundred four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 109 112 128 154 176 218 224 308 352 436 448 616 704 763 872 896 1199 1232 1408 1526 1744 2398 2464 3052 3488 4796 4928 6104 6976 8393 9592 9856 12208 13952 16786 19184 24416 33572 38368 48832 67144 76736 97664 134288 153472 268576 537152 1074304