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38674440 = 233257103149
BaseRepresentation
bin1001001110001…
…0000000001000
32200202212100200
42103202000020
534400040230
63500532200
7646504320
oct223420010
980685320
1038674440
111a915752
1210b51060
1380213ac
1451ca280
1535de160
hex24e2008

38674440 has 192 divisors, whose sum is σ = 146016000. Its totient is φ = 8695296.

The previous prime is 38674423. The next prime is 38674469. The reversal of 38674440 is 4447683.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 38674395 and 38674404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 259486 + ... + 259634.

It is an arithmetic number, because the mean of its divisors is an integer number (760500).

Almost surely, 238674440 is an apocalyptic number.

38674440 is a gapful number since it is divisible by the number (30) 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 38674440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73008000).

38674440 is an abundant number, since it is smaller than the sum of its proper divisors (107341560).

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

38674440 is a wasteful number, since it uses less digits than its factorization.

38674440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 38674440 is about 6218.8777122564. The cubic root of 38674440 is about 338.1748800330.

The spelling of 38674440 in words is "thirty-eight million, six hundred seventy-four thousand, four hundred forty".