Search a number
-
+
3427770368 = 2131138039
BaseRepresentation
bin1100110001001111…
…1010000000000000
322211212221202222002
43030103322000000
524010002122433
61324045003132
7150641365421
oct31423720000
98755852862
103427770368
1114a9983680
127b7b534a8
134281c9cb9
14247359648
15150de09e8
hexcc4fa000

3427770368 has 56 divisors (see below), whose sum is σ = 7478511840. Its totient is φ = 1558036480.

The previous prime is 3427770343. The next prime is 3427770397. The reversal of 3427770368 is 8630777243.

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 3 ways as a sum of consecutive naturals, for example, 71093 + ... + 109131.

Almost surely, 23427770368 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 3427770368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3739255920).

3427770368 is an abundant number, since it is smaller than the sum of its proper divisors (4050741472).

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

3427770368 is an equidigital number, since it uses as much as digits as its factorization.

3427770368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38076 (or 38052 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 47.

The square root of 3427770368 is about 58547.1636204522. The cubic root of 3427770368 is about 1507.7774369173. Note that the first 3 decimals are identical.

The spelling of 3427770368 in words is "three billion, four hundred twenty-seven million, seven hundred seventy thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1024 1408 2048 2816 4096 5632 8192 11264 22528 38039 45056 76078 90112 152156 304312 418429 608624 836858 1217248 1673716 2434496 3347432 4868992 6694864 9737984 13389728 19475968 26779456 38951936 53558912 77903872 107117824 155807744 214235648 311615488 428471296 856942592 1713885184 3427770368