Search a number
-
+
8434101376 = 27891514903
BaseRepresentation
bin1111101101011011…
…00010110010000000
3210202210020202001001
413312231202302000
5114233112221001
63512524021344
7416001451561
oct76655426200
923683222031
108434101376
113638915218
121774691854
13a4546443c
145a01c8168
15345698001
hex1f6b62c80

8434101376 has 64 divisors (see below), whose sum is σ = 17107113600. Its totient is φ = 4141209600.

The previous prime is 8434101371. The next prime is 8434101391. The reversal of 8434101376 is 6731014348.

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

It is a super-2 number, since 2×84341013762 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8434101371) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1717741 + ... + 1722643.

It is an arithmetic number, because the mean of its divisors is an integer number (267298650).

Almost surely, 28434101376 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 8434101376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8553556800).

8434101376 is an abundant number, since it is smaller than the sum of its proper divisors (8673012224).

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

8434101376 is a wasteful number, since it uses less digits than its factorization.

8434101376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5157 (or 5145 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 8434101376 is about 91837.3637252290. The cubic root of 8434101376 is about 2035.5398339637.

The spelling of 8434101376 in words is "eight billion, four hundred thirty-four million, one hundred one thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 89 128 151 178 302 356 604 712 1208 1424 2416 2848 4832 4903 5696 9664 9806 11392 13439 19328 19612 26878 39224 53756 78448 107512 156896 215024 313792 430048 436367 627584 740353 860096 872734 1480706 1720192 1745468 2961412 3490936 5922824 6981872 11845648 13963744 23691296 27927488 47382592 55854976 65891417 94765184 131782834 263565668 527131336 1054262672 2108525344 4217050688 8434101376