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38087340 = 22351036163
BaseRepresentation
bin1001000101001…
…0101010101100
32122200001000020
42101102222230
534222243330
63440202140
7641510544
oct221225254
978601006
1038087340
111a554645
1210909350
137b770b5
1450b6324
153525210
hex2452aac

38087340 has 48 divisors (see below), whose sum is σ = 107697408. Its totient is φ = 10056384.

The previous prime is 38087339. The next prime is 38087347. The reversal of 38087340 is 4378083.

It is not an unprimeable number, because it can be changed into a prime (38087347) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3099 + ... + 9261.

It is an arithmetic number, because the mean of its divisors is an integer number (2243696).

Almost surely, 238087340 is an apocalyptic number.

38087340 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 38087340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53848704).

38087340 is an abundant number, since it is smaller than the sum of its proper divisors (69610068).

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

38087340 is a wasteful number, since it uses less digits than its factorization.

38087340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6278 (or 6276 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 38087340 is about 6171.4941464770. The cubic root of 38087340 is about 336.4549180951.

The spelling of 38087340 in words is "thirty-eight million, eighty-seven thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 103 206 309 412 515 618 1030 1236 1545 2060 3090 6163 6180 12326 18489 24652 30815 36978 61630 73956 92445 123260 184890 369780 634789 1269578 1904367 2539156 3173945 3808734 6347890 7617468 9521835 12695780 19043670 38087340