Search a number
-
+
3298534883328 = 2403
BaseRepresentation
bin110000000000000000000…
…000000000000000000000
3102200100002120022122221210
4300000000000000000000
5413020344412231303
611003154230050120
7460211524616316
oct60000000000000
912610076278853
103298534883328
11106199aa49153
124533407a9940
131ac086c61169
14b59156160b6
155ac08499203
hex30000000000

3298534883328 has 82 divisors (see below), whose sum is σ = 8796093022204. Its totient is φ = 1099511627776.

The previous prime is 3298534883309. The next prime is 3298534883417. The reversal of 3298534883328 is 8233884358923.

It is a Jordan-Polya number, since it can be written as 4! ⋅ (2!)37.

Its product of digits (238878720) is a multiple of the sum of its prime divisors (5).

It is a nialpdrome in base 2, base 4, base 8 and base 16.

It is a zygodrome in base 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

In principle, a polygon with 3298534883328 sides can be constructed with ruler and compass.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1099511627775 + 1099511627776 + 1099511627777.

Almost surely, 23298534883328 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 3298534883328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4398046511102).

3298534883328 is an abundant number, since it is smaller than the sum of its proper divisors (5497558138876).

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

3298534883328 is an frugal number, since it uses more digits than its factorization.

3298534883328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 5 counting only the distinct ones).

The product of its digits is 238878720, while the sum is 66.

The spelling of 3298534883328 in words is "three trillion, two hundred ninety-eight billion, five hundred thirty-four million, eight hundred eighty-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 4096 6144 8192 12288 16384 24576 32768 49152 65536 98304 131072 196608 262144 393216 524288 786432 1048576 1572864 2097152 3145728 4194304 6291456 8388608 12582912 16777216 25165824 33554432 50331648 67108864 100663296 134217728 201326592 268435456 402653184 536870912 805306368 1073741824 1610612736 2147483648 3221225472 4294967296 6442450944 8589934592 12884901888 17179869184 25769803776 34359738368 51539607552 68719476736 103079215104 137438953472 206158430208 274877906944 412316860416 549755813888 824633720832 1099511627776 1649267441664 3298534883328