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38984316 = 2237432251
BaseRepresentation
bin1001010010110…
…1101001111100
32201100121102120
42110231221330
534434444231
63511322540
7652234620
oct224555174
981317376
1038984316
1120007548
1211080450
1380cc457
14526b180
153650d96
hex252da7c

38984316 has 72 divisors (see below), whose sum is σ = 106856064. Its totient is φ = 10836000.

The previous prime is 38984311. The next prime is 38984369. The reversal of 38984316 is 61348983.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38984311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155191 + ... + 155441.

It is an arithmetic number, because the mean of its divisors is an integer number (1484112).

Almost surely, 238984316 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 38984316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53428032).

38984316 is an abundant number, since it is smaller than the sum of its proper divisors (67871748).

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

38984316 is a wasteful number, since it uses less digits than its factorization.

38984316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 306 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The square root of 38984316 is about 6243.7421471422. The cubic root of 38984316 is about 339.0756785820.

The spelling of 38984316 in words is "thirty-eight million, nine hundred eighty-four thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 84 86 129 172 251 258 301 502 516 602 753 903 1004 1204 1506 1757 1806 1849 3012 3514 3612 3698 5271 5547 7028 7396 10542 10793 11094 12943 21084 21586 22188 25886 32379 38829 43172 51772 64758 75551 77658 129516 151102 155316 226653 302204 453306 464099 906612 928198 1392297 1856396 2784594 3248693 5569188 6497386 9746079 12994772 19492158 38984316