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344342440 = 235131913467
BaseRepresentation
bin10100100001100…
…011111110101000
3212222221102000201
4110201203332220
51201122424230
654100241544
711350601551
oct2441437650
9788842021
10344342440
11167410632
12973a02b4
1356455030
1433a37328
152036c5ca
hex14863fa8

344342440 has 64 divisors (see below), whose sum is σ = 838978560. Its totient is φ = 126439680.

The previous prime is 344342437. The next prime is 344342473. The reversal of 344342440 is 44243443.

It is a junction number, because it is equal to n+sod(n) for n = 344342399 and 344342408.

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, 97587 + ... + 101053.

It is an arithmetic number, because the mean of its divisors is an integer number (13109040).

Almost surely, 2344342440 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 344342440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419489280).

344342440 is an abundant number, since it is smaller than the sum of its proper divisors (494636120).

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

344342440 is a wasteful number, since it uses less digits than its factorization.

344342440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3682 (or 3678 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

The square root of 344342440 is about 18556.4662584232. The cubic root of 344342440 is about 700.9120356750.

Adding to 344342440 its reverse (44243443), we get a palindrome (388585883).

The spelling of 344342440 in words is "three hundred forty-four million, three hundred forty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 191 260 382 520 764 955 1528 1910 2483 3467 3820 4966 6934 7640 9932 12415 13868 17335 19864 24830 27736 34670 45071 49660 69340 90142 99320 138680 180284 225355 360568 450710 662197 901420 1324394 1802840 2648788 3310985 5297576 6621970 8608561 13243940 17217122 26487880 34434244 43042805 68868488 86085610 172171220 344342440