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344500380 = 2232572139281
BaseRepresentation
bin10100100010001…
…010100010011100
3220000020102200100
4110202022202130
51201143003010
654103501100
711352130200
oct2442124234
9800212610
10344500380
11167509264
1297457790
13564abba3
1433a78b00
152039e2c0
hex1488a89c

344500380 has 216 divisors, whose sum is σ = 1228696560. Its totient is φ = 77898240.

The previous prime is 344500379. The next prime is 344500411. The reversal of 344500380 is 83005443.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1225840 + ... + 1226120.

It is an arithmetic number, because the mean of its divisors is an integer number (5688410).

Almost surely, 2344500380 is an apocalyptic number.

344500380 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 344500380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614348280).

344500380 is an abundant number, since it is smaller than the sum of its proper divisors (884196180).

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

344500380 is a wasteful number, since it uses less digits than its factorization.

344500380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 344500380 is about 18560.7214299445. The cubic root of 344500380 is about 701.0191820436.

The spelling of 344500380 in words is "three hundred forty-four million, five hundred thousand, three hundred eighty".