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38646342 = 2337195381
BaseRepresentation
bin1001001101101…
…1001001000110
32200201102211000
42103123021012
534343140332
63500154130
7646326360
oct223331106
980642730
1038646342
111a8a6629
1210b38946
138011677
1451bdd30
1535d5b7c
hex24db246

38646342 has 64 divisors (see below), whose sum is σ = 103334400. Its totient is φ = 10458720.

The previous prime is 38646341. The next prime is 38646343. The reversal of 38646342 is 24364683.

It is a happy number.

38646342 is a `hidden beast` number, since 3 + 8 + 646 + 3 + 4 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (38646341) and next prime (38646343).

It is a junction number, because it is equal to n+sod(n) for n = 38646297 and 38646306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38646341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4492 + ... + 9872.

It is an arithmetic number, because the mean of its divisors is an integer number (1614600).

Almost surely, 238646342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38646342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51667200).

38646342 is an abundant number, since it is smaller than the sum of its proper divisors (64688058).

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

38646342 is a wasteful number, since it uses less digits than its factorization.

38646342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5418 (or 5412 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 38646342 is about 6216.6182125011. The cubic root of 38646342 is about 338.0929625368.

The spelling of 38646342 in words is "thirty-eight million, six hundred forty-six thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 54 57 63 114 126 133 171 189 266 342 378 399 513 798 1026 1197 2394 3591 5381 7182 10762 16143 32286 37667 48429 75334 96858 102239 113001 145287 204478 226002 290574 306717 339003 613434 678006 715673 920151 1017009 1431346 1840302 2034018 2147019 2760453 4294038 5520906 6441057 12882114 19323171 38646342