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6374000384 = 28414311409
BaseRepresentation
bin1011110111110101…
…11000011100000000
3121110012210202202022
411323322320130000
5101023221003014
62532252541012
7313645052333
oct57372703400
917405722668
106374000384
112780a58914
12129a781768
137a770617b
1444676661a
152748b2a8e
hex17beb8700

6374000384 has 72 divisors (see below), whose sum is σ = 13072933440. Its totient is φ = 3099852800.

The previous prime is 6374000351. The next prime is 6374000401. The reversal of 6374000384 is 4830004736.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4523072 + ... + 4524480.

It is an arithmetic number, because the mean of its divisors is an integer number (181568520).

Almost surely, 26374000384 is an apocalyptic number.

6374000384 is a gapful number since it is divisible by the number (64) 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 6374000384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6536466720).

6374000384 is an abundant number, since it is smaller than the sum of its proper divisors (6698933056).

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

6374000384 is a wasteful number, since it uses less digits than its factorization.

6374000384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1897 (or 1883 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 35.

The square root of 6374000384 is about 79837.3370297382. The cubic root of 6374000384 is about 1854.1179643846.

The spelling of 6374000384 in words is "six billion, three hundred seventy-four million, three hundred eighty-four", and thus it is an aban number.

Divisors: 1 2 4 8 16 32 41 64 82 128 164 256 328 431 656 862 1312 1409 1724 2624 2818 3448 5248 5636 6896 10496 11272 13792 17671 22544 27584 35342 45088 55168 57769 70684 90176 110336 115538 141368 180352 231076 282736 360704 462152 565472 607279 924304 1130944 1214558 1848608 2261888 2429116 3697216 4523776 4858232 7394432 9716464 14788864 19432928 24898439 38865856 49796878 77731712 99593756 155463424 199187512 398375024 796750048 1593500096 3187000192 6374000384