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344102940 = 2232513114593
BaseRepresentation
bin10100100000101…
…001100000011100
3212222111020111100
4110200221200130
51201042243230
654051153100
711345553366
oct2440514034
9788436440
10344102940
111672676a5
12972a5790
13563a000c
14339b3d36
1520321660
hex1482981c

344102940 has 72 divisors (see below), whose sum is σ = 1051818768. Its totient is φ = 91054080.

The previous prime is 344102929. The next prime is 344102959. The reversal of 344102940 is 49201443.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16284 + ... + 30876.

It is an arithmetic number, because the mean of its divisors is an integer number (14608594).

Almost surely, 2344102940 is an apocalyptic number.

344102940 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 344102940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525909384).

344102940 is an abundant number, since it is smaller than the sum of its proper divisors (707715828).

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

344102940 is a wasteful number, since it uses less digits than its factorization.

344102940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14739 (or 14734 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 344102940 is about 18550.0118598345. The cubic root of 344102940 is about 700.7494965404.

The spelling of 344102940 in words is "three hundred forty-four million, one hundred two thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 131 180 262 393 524 655 786 1179 1310 1572 1965 2358 2620 3930 4716 5895 7860 11790 14593 23580 29186 43779 58372 72965 87558 131337 145930 175116 218895 262674 291860 437790 525348 656685 875580 1313370 1911683 2626740 3823366 5735049 7646732 9558415 11470098 17205147 19116830 22940196 28675245 34410294 38233660 57350490 68820588 86025735 114700980 172051470 344102940