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298426464 = 2533731953
BaseRepresentation
bin10001110010011…
…010000001100000
3202210112122011000
4101302122001200
51102344121324
645340152000
710252404000
oct2162320140
9683478130
10298426464
111434aa246
1283b38600
1349a9980b
142b8c4000
151b2ec9c9
hex11c9a060

298426464 has 384 divisors, whose sum is σ = 1088640000. Its totient is φ = 79252992.

The previous prime is 298426463. The next prime is 298426477. The reversal of 298426464 is 464624892.

298426464 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (298426463) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5630662 + ... + 5630714.

It is an arithmetic number, because the mean of its divisors is an integer number (2835000).

Almost surely, 2298426464 is an apocalyptic number.

298426464 is a gapful number since it is divisible by the number (24) 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 298426464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544320000).

298426464 is an abundant number, since it is smaller than the sum of its proper divisors (790213536).

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

298426464 is a wasteful number, since it uses less digits than its factorization.

298426464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 84 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 298426464 is about 17275.0242836298. The cubic root of 298426464 is about 668.2604790511.

The spelling of 298426464 in words is "two hundred ninety-eight million, four hundred twenty-six thousand, four hundred sixty-four".