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2344368 = 243132172
BaseRepresentation
bin1000111100010110110000
311102002212110
420330112300
51100004433
6122125320
725632615
oct10742660
94362773
102344368
1113613a4
12950840
13641100
1445050c
15314963
hex23c5b0

2344368 has 90 divisors (see below), whose sum is σ = 6966444. Its totient is φ = 678912.

The previous prime is 2344361. The next prime is 2344379. The reversal of 2344368 is 8634432.

It is a super-2 number, since 2×23443682 = 10992122638848, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 13.

It is a zygodrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (2344361) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 137896 + ... + 137912.

22344368 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 2344368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3483222).

2344368 is an abundant number, since it is smaller than the sum of its proper divisors (4622076).

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

2344368 is a wasteful number, since it uses less digits than its factorization.

2344368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 35 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

The square root of 2344368 is about 1531.1329138909. The cubic root of 2344368 is about 132.8439951973.

Subtracting 2344368 from its reverse (8634432), we obtain a square (6290064 = 25082).

The spelling of 2344368 in words is "two million, three hundred forty-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 34 39 48 51 52 68 78 102 104 136 156 169 204 208 221 272 289 312 338 408 442 507 578 624 663 676 816 867 884 1014 1156 1326 1352 1734 1768 2028 2312 2652 2704 2873 3468 3536 3757 4056 4624 5304 5746 6936 7514 8112 8619 10608 11271 11492 13872 15028 17238 22542 22984 30056 34476 45084 45968 48841 60112 68952 90168 97682 137904 146523 180336 195364 293046 390728 586092 781456 1172184 2344368