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341798400 = 2933522343
BaseRepresentation
bin10100010111110…
…110111000000000
3212211011011021000
4110113312320000
51200000022100
653525532000
711320144536
oct2427667000
9784134230
10341798400
11165a33219
1296574000
1355a74098
1433574156
1520018900
hex145f6e00

341798400 has 480 divisors, whose sum is σ = 1339557120. Its totient is φ = 85155840.

The previous prime is 341798389. The next prime is 341798407. The reversal of 341798400 is 4897143.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×3417984002 = 233652292485120000, which contains 22 as substring.

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 (341798407) 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 47 ways as a sum of consecutive naturals, for example, 7948779 + ... + 7948821.

It is an arithmetic number, because the mean of its divisors is an integer number (2790744).

Almost surely, 2341798400 is an apocalyptic number.

341798400 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 341798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669778560).

341798400 is an abundant number, since it is smaller than the sum of its proper divisors (997758720).

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

341798400 is a wasteful number, since it uses less digits than its factorization.

341798400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 341798400 is about 18487.7905656679. The cubic root of 341798400 is about 699.1816286473.

The spelling of 341798400 in words is "three hundred forty-one million, seven hundred ninety-eight thousand, four hundred".