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344774340 = 223351633917
BaseRepresentation
bin10100100011001…
…101011011000100
3220000202100111000
4110203031123010
51201230234330
654113413300
711354351001
oct2443153304
9800670430
10344774340
11167686079
129756a230
13565767b1
1433b0a8a8
1520405560
hex148cd6c4

344774340 has 96 divisors (see below), whose sum is σ = 1079487360. Its totient is φ = 91352448.

The previous prime is 344774329. The next prime is 344774363. The reversal of 344774340 is 43477443.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 344774295 and 344774304.

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 31 ways as a sum of consecutive naturals, for example, 86062 + ... + 89978.

It is an arithmetic number, because the mean of its divisors is an integer number (11244660).

Almost surely, 2344774340 is an apocalyptic number.

344774340 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 344774340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539743680).

344774340 is an abundant number, since it is smaller than the sum of its proper divisors (734713020).

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

344774340 is a wasteful number, since it uses less digits than its factorization.

344774340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4098 (or 4090 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 36.

The square root of 344774340 is about 18568.1000643577. The cubic root of 344774340 is about 701.2049586444.

The spelling of 344774340 in words is "three hundred forty-four million, seven hundred seventy-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 163 180 270 326 489 540 652 815 978 1467 1630 1956 2445 2934 3260 3917 4401 4890 5868 7335 7834 8802 9780 11751 14670 15668 17604 19585 22005 23502 29340 35253 39170 44010 47004 58755 70506 78340 88020 105759 117510 141012 176265 211518 235020 352530 423036 528795 638471 705060 1057590 1276942 1915413 2115180 2553884 3192355 3830826 5746239 6384710 7661652 9577065 11492478 12769420 17238717 19154130 22984956 28731195 34477434 38308260 57462390 68954868 86193585 114924780 172387170 344774340