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38380680 = 233251359139
BaseRepresentation
bin1001001001101…
…0010010001000
32200012221101200
42102122102020
534311140210
63450344200
7644142012
oct222322210
980187350
1038380680
111a734a78
1210a2b060
137c4a780
1451511b2
1535820c0
hex249a488

38380680 has 192 divisors, whose sum is σ = 137592000. Its totient is φ = 9220608.

The previous prime is 38380673. The next prime is 38380681. The reversal of 38380680 is 8608383.

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

It is not an unprimeable number, because it can be changed into a prime (38380681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 276051 + ... + 276189.

It is an arithmetic number, because the mean of its divisors is an integer number (716625).

Almost surely, 238380680 is an apocalyptic number.

38380680 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 38380680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68796000).

38380680 is an abundant number, since it is smaller than the sum of its proper divisors (99211320).

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

38380680 is a wasteful number, since it uses less digits than its factorization.

38380680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 38380680 is about 6195.2142820083. The cubic root of 38380680 is about 337.3164763544.

It can be divided in two parts, 38380 and 680, that added together give a triangular number (39060 = T279).

The spelling of 38380680 in words is "thirty-eight million, three hundred eighty thousand, six hundred eighty".