Search a number
-
+
298139400 = 2333521331137
BaseRepresentation
bin10001110001010…
…011111100001000
3202210000001101000
4101301103330020
51102310430100
645330055000
710250100036
oct2161237410
9683001330
10298139400
111433235a9
1283a1a460
13499c8c60
142b84b556
151b292900
hex11c53f08

298139400 has 384 divisors, whose sum is σ = 1149926400. Its totient is φ = 70502400.

The previous prime is 298139381. The next prime is 298139407. The reversal of 298139400 is 4931892.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (298139407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2176132 + ... + 2176268.

It is an arithmetic number, because the mean of its divisors is an integer number (2994600).

Almost surely, 2298139400 is an apocalyptic number.

298139400 is a gapful number since it is divisible by the number (20) 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 298139400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574963200).

298139400 is an abundant number, since it is smaller than the sum of its proper divisors (851787000).

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

298139400 is a wasteful number, since it uses less digits than its factorization.

298139400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 298139400 is about 17266.7136421497. The cubic root of 298139400 is about 668.0461380637.

The spelling of 298139400 in words is "two hundred ninety-eight million, one hundred thirty-nine thousand, four hundred".