Search a number
-
+
3298328640 = 26335419311
BaseRepresentation
bin1100010010011000…
…1000000001000000
322111212101110022000
43010212020001000
523223333004030
61303142344000
7144510221325
oct30446100100
98455343260
103298328640
111442903142
1278072b000
13407448669
142340a2b4c
15144872860
hexc4988040

3298328640 has 224 divisors, whose sum is σ = 11920849920. Its totient is φ = 858009600.

The previous prime is 3298328633. The next prime is 3298328641. The reversal of 3298328640 is 468238923.

3298328640 is a `hidden beast` number, since 329 + 8 + 3 + 286 + 40 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3298328641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 349585 + ... + 358895.

It is an arithmetic number, because the mean of its divisors is an integer number (53218080).

Almost surely, 23298328640 is an apocalyptic number.

3298328640 is a gapful number since it is divisible by the number (30) 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 3298328640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5960424960).

3298328640 is an abundant number, since it is smaller than the sum of its proper divisors (8622521280).

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

3298328640 is a wasteful number, since it uses less digits than its factorization.

3298328640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9378 (or 9362 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 3298328640 is about 57431.0773014054. The cubic root of 3298328640 is about 1488.5541640389.

The spelling of 3298328640 in words is "three billion, two hundred ninety-eight million, three hundred twenty-eight thousand, six hundred forty".