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38316816 = 2432266089
BaseRepresentation
bin1001001000101…
…0101100010000
32200002200210100
42102022230100
534302114231
63445132400
7643454556
oct222125420
980080710
1038316816
111a6a0a9a
12109ba100
137c27695
145135bd6
15356d1e6
hex248ab10

38316816 has 30 divisors (see below), whose sum is σ = 107234270. Its totient is φ = 12772224.

The previous prime is 38316769. The next prime is 38316841. The reversal of 38316816 is 61861383.

It can be written as a sum of positive squares in only one way, i.e., 34857216 + 3459600 = 5904^2 + 1860^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 132901 + ... + 133188.

Almost surely, 238316816 is an apocalyptic number.

38316816 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

38316816 is an abundant number, since it is smaller than the sum of its proper divisors (68917454).

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

38316816 is a wasteful number, since it uses less digits than its factorization.

38316816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266103 (or 266094 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 38316816 is about 6190.0578349479. The cubic root of 38316816 is about 337.1292785328.

The spelling of 38316816 in words is "thirty-eight million, three hundred sixteen thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 266089 532178 798267 1064356 1596534 2128712 2394801 3193068 4257424 4789602 6386136 9579204 12772272 19158408 38316816