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344279916 = 223323138599
BaseRepresentation
bin10100100001010…
…100101101101100
3212222211020021000
4110201110231230
51201113424131
654055040300
711350221351
oct2441245554
9788736230
10344279916
11167378662
1297370090
1356432736
1433a1c628
1520358ce6
hex14854b6c

344279916 has 48 divisors (see below), whose sum is σ = 931392000. Its totient is φ = 109769616.

The previous prime is 344279863. The next prime is 344279959. The reversal of 344279916 is 619972443.

It is a happy number.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 66816 + ... + 71783.

It is an arithmetic number, because the mean of its divisors is an integer number (19404000).

Almost surely, 2344279916 is an apocalyptic number.

344279916 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

344279916 is an abundant number, since it is smaller than the sum of its proper divisors (587112084).

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

344279916 is a wasteful number, since it uses less digits than its factorization.

344279916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138635 (or 138627 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 344279916 is about 18554.7814861830. The cubic root of 344279916 is about 700.8696103916.

The spelling of 344279916 in words is "three hundred forty-four million, two hundred seventy-nine thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 138 207 276 414 621 828 1242 2484 138599 277198 415797 554396 831594 1247391 1663188 2494782 3187777 3742173 4989564 6375554 7484346 9563331 12751108 14968692 19126662 28689993 38253324 57379986 86069979 114759972 172139958 344279916