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12345340 = 2257109809
BaseRepresentation
bin101111000101…
…111111111100
3212020012121211
4233011333330
511130022330
61120334204
7206635150
oct57057774
925205554
1012345340
116a72267
124174364
132733247
1418d5060
15113cd2a
hexbc5ffc

12345340 has 48 divisors (see below), whose sum is σ = 29937600. Its totient is φ = 4188672.

The previous prime is 12345323. The next prime is 12345341. The reversal of 12345340 is 4354321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12345341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14856 + ... + 15664.

It is an arithmetic number, because the mean of its divisors is an integer number (623700).

Almost surely, 212345340 is an apocalyptic number.

12345340 is a gapful number since it is divisible by the number (10) 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 12345340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14968800).

12345340 is an abundant number, since it is smaller than the sum of its proper divisors (17592260).

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

12345340 is a wasteful number, since it uses less digits than its factorization.

12345340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 12345340 is about 3513.5936019978. The cubic root of 12345340 is about 231.1183092419.

Adding to 12345340 its reverse (4354321), we get a palindrome (16699661).

The spelling of 12345340 in words is "twelve million, three hundred forty-five thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 109 140 218 436 545 763 809 1090 1526 1618 2180 3052 3236 3815 4045 5663 7630 8090 11326 15260 16180 22652 28315 56630 88181 113260 176362 352724 440905 617267 881810 1234534 1763620 2469068 3086335 6172670 12345340