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344444340 = 2235101113503
BaseRepresentation
bin10100100001111…
…100110110110100
3220000010120210210
4110201330312310
51201134204330
654102345420
711351504622
oct2441746664
9800116723
10344444340
11167480149
129742b270
135648c526
1433a62512
152038c8b0
hex1487cdb4

344444340 has 96 divisors (see below), whose sum is σ = 984566016. Its totient is φ = 89958400.

The previous prime is 344444323. The next prime is 344444351. The reversal of 344444340 is 43444443.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 344444298 and 344444307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 684529 + ... + 685031.

It is an arithmetic number, because the mean of its divisors is an integer number (10255896).

Almost surely, 2344444340 is an apocalyptic number.

344444340 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 344444340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492283008).

344444340 is an abundant number, since it is smaller than the sum of its proper divisors (640121676).

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

344444340 is a wasteful number, since it uses less digits than its factorization.

344444340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

The square root of 344444340 is about 18559.2117289501. The cubic root of 344444340 is about 700.9811683019.

Adding to 344444340 its reverse (43444443), we get a palindrome (387888783).

The spelling of 344444340 in words is "three hundred forty-four million, four hundred forty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 101 113 202 226 303 339 404 452 503 505 565 606 678 1006 1010 1130 1212 1356 1509 1515 1695 2012 2020 2260 2515 3018 3030 3390 5030 6036 6060 6780 7545 10060 11413 15090 22826 30180 34239 45652 50803 56839 57065 68478 101606 113678 114130 136956 152409 170517 171195 203212 227356 228260 254015 284195 304818 341034 342390 508030 568390 609636 682068 684780 762045 852585 1016060 1136780 1524090 1705170 3048180 3410340 5740739 11481478 17222217 22962956 28703695 34444434 57407390 68888868 86111085 114814780 172222170 344444340