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344104340 = 22531717817
BaseRepresentation
bin10100100000101…
…001110110010100
3212222111022102012
4110200221312110
51201042314330
654051203352
711345560436
oct2440516624
9788438365
10344104340
11167268758
12972a6558
13563a0848
14339b4656
1520321c95
hex14829d94

344104340 has 48 divisors (see below), whose sum is σ = 756532224. Its totient is φ = 131308800.

The previous prime is 344104339. The next prime is 344104351. The reversal of 344104340 is 43401443.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40112 + ... + 47928.

It is an arithmetic number, because the mean of its divisors is an integer number (15761088).

Almost surely, 2344104340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 344104340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378266112).

344104340 is an abundant number, since it is smaller than the sum of its proper divisors (412427884).

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

344104340 is a wasteful number, since it uses less digits than its factorization.

344104340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7928 (or 7926 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 344104340 is about 18550.0495956210. The cubic root of 344104340 is about 700.7504468839.

Adding to 344104340 its reverse (43401443), we get a palindrome (387505783).

The spelling of 344104340 in words is "three hundred forty-four million, one hundred four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 31 62 71 124 142 155 284 310 355 620 710 1420 2201 4402 7817 8804 11005 15634 22010 31268 39085 44020 78170 156340 242327 484654 555007 969308 1110014 1211635 2220028 2423270 2775035 4846540 5550070 11100140 17205217 34410434 68820868 86026085 172052170 344104340