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344144080 = 2457614543
BaseRepresentation
bin10100100000110…
…011100011010000
3212222120022221001
4110200303203100
51201100102310
654052111344
711346114340
oct2440634320
9788508831
10344144080
111672955a5
1297305554
13563b5967
14339c4d20
152032d93a
hex148338d0

344144080 has 40 divisors (see below), whose sum is σ = 914441472. Its totient is φ = 117992064.

The previous prime is 344144077. The next prime is 344144089. The reversal of 344144080 is 80441443.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344144089) 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 7 ways as a sum of consecutive naturals, for example, 306712 + ... + 307831.

Almost surely, 2344144080 is an apocalyptic number.

It is an amenable number.

344144080 is an abundant number, since it is smaller than the sum of its proper divisors (570297392).

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

344144080 is a wasteful number, since it uses less digits than its factorization.

344144080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614563 (or 614557 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

The square root of 344144080 is about 18551.1207208621. The cubic root of 344144080 is about 700.7774219876. Note that the first 3 decimals are identical.

The spelling of 344144080 in words is "three hundred forty-four million, one hundred forty-four thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 614543 1229086 2458172 3072715 4301801 4916344 6145430 8603602 9832688 12290860 17207204 21509005 24581720 34414408 43018010 49163440 68828816 86036020 172072040 344144080