Search a number
-
+
298333440 = 28325192947
BaseRepresentation
bin10001110010000…
…011010100000000
3202210100220112200
4101302003110000
51102333132230
645334153200
710251535536
oct2162032400
9683326480
10298333440
11143446369
1283ab2800
1349a66382
142b89c156
151b2d0160
hex11c83500

298333440 has 432 divisors, whose sum is σ = 1147910400. Its totient is φ = 71221248.

The previous prime is 298333439. The next prime is 298333463. The reversal of 298333440 is 44333892.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 298333395 and 298333404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6347497 + ... + 6347543.

It is an arithmetic number, because the mean of its divisors is an integer number (2657200).

Almost surely, 2298333440 is an apocalyptic number.

298333440 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 298333440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573955200).

298333440 is an abundant number, since it is smaller than the sum of its proper divisors (849576960).

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

298333440 is a wasteful number, since it uses less digits than its factorization.

298333440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 298333440 is about 17272.3316318325. The cubic root of 298333440 is about 668.1910362339.

The spelling of 298333440 in words is "two hundred ninety-eight million, three hundred thirty-three thousand, four hundred forty".