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12343464 = 23327191289
BaseRepresentation
bin101111000101…
…100010101000
3212020010001100
4233011202220
511124442324
61120321400
7206626530
oct57054250
925203040
1012343464
116a70911
124173260
132732433
1418d44c0
15113c4c9
hexbc58a8

12343464 has 96 divisors (see below), whose sum is σ = 40248000. Its totient is φ = 3338496.

The previous prime is 12343447. The next prime is 12343481. The reversal of 12343464 is 46434321.

It is an interprime number because it is at equal distance from previous prime (12343447) and next prime (12343481).

It is a super-2 number, since 2×123434642 = 304722207038592, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8932 + ... + 10220.

It is an arithmetic number, because the mean of its divisors is an integer number (419250).

Almost surely, 212343464 is an apocalyptic number.

12343464 is a gapful number since it is divisible by the number (14) 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 12343464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20124000).

12343464 is an abundant number, since it is smaller than the sum of its proper divisors (27904536).

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

12343464 is a wasteful number, since it uses less digits than its factorization.

12343464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1327 (or 1320 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 12343464 is about 3513.3266287096. The cubic root of 12343464 is about 231.1066017228.

Adding to 12343464 its reverse (46434321), we get a palindrome (58777785).

The spelling of 12343464 in words is "twelve million, three hundred forty-three thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 28 36 38 42 56 57 63 72 76 84 114 126 133 152 168 171 228 252 266 342 399 456 504 532 684 798 1064 1197 1289 1368 1596 2394 2578 3192 3867 4788 5156 7734 9023 9576 10312 11601 15468 18046 23202 24491 27069 30936 36092 46404 48982 54138 72184 73473 81207 92808 97964 108276 146946 162414 171437 195928 216552 220419 293892 324828 342874 440838 514311 587784 649656 685748 881676 1028622 1371496 1542933 1763352 2057244 3085866 4114488 6171732 12343464