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341034144 = 25311317157
BaseRepresentation
bin10100010100111…
…100010010100000
3212202201022220020
4110110330102200
51144301043034
653501313440
711310512433
oct2424742240
9782638806
10341034144
11165561000
1296265880
1355867269
143341581a
151ee17249
hex1453c4a0

341034144 has 192 divisors, whose sum is σ = 1049231232. Its totient is φ = 96645120.

The previous prime is 341034121. The next prime is 341034149. The reversal of 341034144 is 441430143.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (341034149) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2172114 + ... + 2172270.

It is an arithmetic number, because the mean of its divisors is an integer number (5464746).

Almost surely, 2341034144 is an apocalyptic number.

341034144 is a gapful number since it is divisible by the number (34) 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 341034144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524615616).

341034144 is an abundant number, since it is smaller than the sum of its proper divisors (708197088).

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

341034144 is a wasteful number, since it uses less digits than its factorization.

341034144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 341034144 is about 18467.1097901106. The cubic root of 341034144 is about 698.6601199459.

Adding to 341034144 its reverse (441430143), we get a palindrome (782464287).

The spelling of 341034144 in words is "three hundred forty-one million, thirty-four thousand, one hundred forty-four".