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38214480 = 2435159227
BaseRepresentation
bin1001000111000…
…1101101010000
32122220111102010
42101301231100
534240330410
63443022520
7642550323
oct221615520
978814363
1038214480
111a631117
121096aa40
137bbcc25
14510a7ba
15354cc20
hex2471b50

38214480 has 40 divisors (see below), whose sum is σ = 118465632. Its totient is φ = 10190464.

The previous prime is 38214479. The next prime is 38214481. The reversal of 38214480 is 8441283.

It is an interprime number because it is at equal distance from previous prime (38214479) and next prime (38214481).

It is a tau number, because it is divible by the number of its divisors (40).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38214481) 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 7 ways as a sum of consecutive naturals, for example, 79374 + ... + 79853.

Almost surely, 238214480 is an apocalyptic number.

38214480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38214480 is an abundant number, since it is smaller than the sum of its proper divisors (80251152).

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

38214480 is a wasteful number, since it uses less digits than its factorization.

38214480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159243 (or 159237 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 38214480 is about 6181.7861496496. The cubic root of 38214480 is about 336.8288775987.

The spelling of 38214480 in words is "thirty-eight million, two hundred fourteen thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 159227 318454 477681 636908 796135 955362 1273816 1592270 1910724 2388405 2547632 3184540 3821448 4776810 6369080 7642896 9553620 12738160 19107240 38214480