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12329442 = 2331961197
BaseRepresentation
bin101111000010…
…000111100010
3212012101211000
4233002013202
511124020232
61120132430
7206540616
oct57020742
925171730
1012329442
116a61324
124167116
132728c38
1418cd346
15113827c
hexbc21e2

12329442 has 64 divisors (see below), whose sum is σ = 29462400. Its totient is φ = 3810240.

The previous prime is 12329431. The next prime is 12329453. The reversal of 12329442 is 24492321.

12329442 = T188 + T189 + ... + T431.

It is an interprime number because it is at equal distance from previous prime (12329431) and next prime (12329453).

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (3456) is a multiple of the sum of its prime factors (288).

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 31 ways as a sum of consecutive naturals, for example, 62488 + ... + 62684.

It is an arithmetic number, because the mean of its divisors is an integer number (460350).

Almost surely, 212329442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12329442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14731200).

12329442 is an abundant number, since it is smaller than the sum of its proper divisors (17132958).

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

12329442 is a wasteful number, since it uses less digits than its factorization.

12329442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 282 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 12329442 is about 3511.3305170548. The cubic root of 12329442 is about 231.0190572910.

The spelling of 12329442 in words is "twelve million, three hundred twenty-nine thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 61 114 122 171 183 197 342 366 394 513 549 591 1026 1098 1159 1182 1647 1773 2318 3294 3477 3546 3743 5319 6954 7486 10431 10638 11229 12017 20862 22458 24034 31293 33687 36051 62586 67374 72102 101061 108153 202122 216306 228323 324459 456646 648918 684969 1369938 2054907 4109814 6164721 12329442