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38438040 = 2335320317
BaseRepresentation
bin1001001010100…
…0010010011000
32200022212002010
42102220102120
534320004130
63451505520
7644501154
oct222502230
980285063
1038438040
111a774083
1210a582a0
137c6a904
145168064
1535940b0
hex24a8498

38438040 has 32 divisors (see below), whose sum is σ = 115314480. Its totient is φ = 10250112.

The previous prime is 38438039. The next prime is 38438041. The reversal of 38438040 is 4083483.

It is an interprime number because it is at equal distance from previous prime (38438039) and next prime (38438041).

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 38437989 and 38438007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38438041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 160039 + ... + 160278.

Almost surely, 238438040 is an apocalyptic number.

38438040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38438040 is an abundant number, since it is smaller than the sum of its proper divisors (76876440).

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

38438040 is a wasteful number, since it uses less digits than its factorization.

38438040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320331 (or 320327 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 38438040 is about 6199.8419334689. The cubic root of 38438040 is about 337.4844327525.

The spelling of 38438040 in words is "thirty-eight million, four hundred thirty-eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 320317 640634 960951 1281268 1601585 1921902 2562536 3203170 3843804 4804755 6406340 7687608 9609510 12812680 19219020 38438040