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4034368 = 26132373
BaseRepresentation
bin1111011000111101000000
321120222010001
433120331000
52013044433
6222245344
746202002
oct17307500
97528101
104034368
112306098
121426854
13ab3400
14770372
1554a57d
hex3d8f40

4034368 has 42 divisors (see below), whose sum is σ = 8692134. Its totient is φ = 1857024.

The previous prime is 4034353. The next prime is 4034383. The reversal of 4034368 is 8634304.

4034368 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 (4034353) and next prime (4034383).

It can be written as a sum of positive squares in 3 ways, for example, as 2304 + 4032064 = 48^2 + 2008^2 .

It is a super-2 number, since 2×40343682 = 32552250318848, which contains 22 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 (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10630 + ... + 11002.

Almost surely, 24034368 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 4034368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4346067).

4034368 is an abundant number, since it is smaller than the sum of its proper divisors (4657766).

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

4034368 is a wasteful number, since it uses less digits than its factorization.

4034368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 4034368 is about 2008.5736232461. The cubic root of 4034368 is about 159.1934409728.

The spelling of 4034368 in words is "four million, thirty-four thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 169 208 338 373 416 676 746 832 1352 1492 2704 2984 4849 5408 5968 9698 10816 11936 19396 23872 38792 63037 77584 126074 155168 252148 310336 504296 1008592 2017184 4034368