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38084368 = 2472311567
BaseRepresentation
bin1001000101000…
…1111100010000
32122122212221011
42101101330100
534222144433
63440140304
7641466100
oct221217420
978585834
1038084368
111a552393
1210907694
137b7593a
1450b5200
1535243cd
hex2451f10

38084368 has 60 divisors (see below), whose sum is σ = 88660992. Its totient is φ = 15785280.

The previous prime is 38084357. The next prime is 38084377. The reversal of 38084368 is 86348083.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 38084368.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23521 + ... + 25087.

Almost surely, 238084368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38084368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44330496).

38084368 is an abundant number, since it is smaller than the sum of its proper divisors (50576624).

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

38084368 is a wasteful number, since it uses less digits than its factorization.

38084368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1620 (or 1607 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The square root of 38084368 is about 6171.2533573011. The cubic root of 38084368 is about 336.4461665429.

It can be divided in two parts, 380 and 84368, that added together give a palindrome (84748).

The spelling of 38084368 in words is "thirty-eight million, eighty-four thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 49 56 62 98 112 124 196 217 248 392 434 496 784 868 1519 1567 1736 3038 3134 3472 6076 6268 10969 12152 12536 21938 24304 25072 43876 48577 76783 87752 97154 153566 175504 194308 307132 340039 388616 614264 680078 777232 1228528 1360156 2380273 2720312 4760546 5440624 9521092 19042184 38084368