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12354342 = 2371131317
BaseRepresentation
bin101111001000…
…001100100110
3212020122222020
4233020030212
511130314332
61120444010
7210003330
oct57101446
925218866
1012354342
116a79000
124179606
132737380
1418d8450
15114082c
hexbc8326

12354342 has 128 divisors (see below), whose sum is σ = 35417088. Its totient is φ = 2787840.

The previous prime is 12354341. The next prime is 12354343. The reversal of 12354342 is 24345321.

It is an interprime number because it is at equal distance from previous prime (12354341) and next prime (12354343).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12354341) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 726718 + ... + 726734.

It is an arithmetic number, because the mean of its divisors is an integer number (276696).

Almost surely, 212354342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12354342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17708544).

12354342 is an abundant number, since it is smaller than the sum of its proper divisors (23062746).

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

12354342 is a wasteful number, since it uses less digits than its factorization.

12354342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 53 counting only the distinct ones).

The product of its digits is 2880, while the sum is 24.

The square root of 12354342 is about 3514.8743932038. The cubic root of 12354342 is about 231.1744713654.

Adding to 12354342 its reverse (24345321), we get a palindrome (36699663).

The spelling of 12354342 in words is "twelve million, three hundred fifty-four thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 11 13 14 17 21 22 26 33 34 39 42 51 66 77 78 91 102 119 121 143 154 182 187 221 231 238 242 273 286 357 363 374 429 442 462 546 561 663 714 726 847 858 1001 1122 1309 1326 1331 1547 1573 1694 2002 2057 2431 2541 2618 2662 3003 3094 3146 3927 3993 4114 4641 4719 4862 5082 6006 6171 7293 7854 7986 9282 9317 9438 11011 12342 14399 14586 17017 17303 18634 22022 22627 26741 27951 28798 33033 34034 34606 43197 45254 51051 51909 53482 55902 66066 67881 80223 86394 102102 103818 121121 135762 158389 160446 187187 242242 294151 316778 363363 374374 475167 561561 588302 726726 882453 950334 1123122 1764906 2059057 4118114 6177171 12354342