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123342324 = 223710713723
BaseRepresentation
bin1110101101000…
…00110111110100
322121002102212020
413112200313310
5223033423244
620123353140
73025251420
oct726406764
9277072766
10123342324
1163694a06
12353827b0
131c727331
1412549b80
15ac65d19
hex75a0df4

123342324 has 48 divisors (see below), whose sum is σ = 332011008. Its totient is φ = 34908768.

The previous prime is 123342301. The next prime is 123342379. The reversal of 123342324 is 423243321.

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

It is a junction number, because it is equal to n+sod(n) for n = 123342294 and 123342303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2127 + ... + 15849.

It is an arithmetic number, because the mean of its divisors is an integer number (6916896).

Almost surely, 2123342324 is an apocalyptic number.

123342324 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 123342324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166005504).

123342324 is an abundant number, since it is smaller than the sum of its proper divisors (208668684).

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

123342324 is a wasteful number, since it uses less digits than its factorization.

123342324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13844 (or 13842 counting only the distinct ones).

The product of its digits is 3456, while the sum is 24.

The square root of 123342324 is about 11105.9589410370. The cubic root of 123342324 is about 497.7799224341.

Adding to 123342324 its reverse (423243321), we get a palindrome (546585645).

The spelling of 123342324 in words is "one hundred twenty-three million, three hundred forty-two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 107 214 321 428 642 749 1284 1498 2247 2996 4494 8988 13723 27446 41169 54892 82338 96061 164676 192122 288183 384244 576366 1152732 1468361 2936722 4405083 5873444 8810166 10278527 17620332 20557054 30835581 41114108 61671162 123342324