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38380356 = 2232717331
BaseRepresentation
bin1001001001101…
…0001101000100
32200012220221200
42102122031010
534311132411
63450342500
7644141040
oct222321504
980186850
1038380356
111a734803
1210a2aa30
137c4a591
145151020
153581e56
hex249a344

38380356 has 144 divisors (see below), whose sum is σ = 121605120. Its totient is φ = 9987840.

The previous prime is 38380351. The next prime is 38380367. The reversal of 38380356 is 65308383.

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

It is a self number, because there is not a number n which added to its sum of digits gives 38380356.

It is not an unprimeable number, because it can be changed into a prime (38380351) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1238061 + ... + 1238091.

It is an arithmetic number, because the mean of its divisors is an integer number (844480).

Almost surely, 238380356 is an apocalyptic number.

38380356 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38380356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60802560).

38380356 is an abundant number, since it is smaller than the sum of its proper divisors (83224764).

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

38380356 is a wasteful number, since it uses less digits than its factorization.

38380356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 38380356 is about 6195.1881327366. The cubic root of 38380356 is about 337.3155271716.

The spelling of 38380356 in words is "thirty-eight million, three hundred eighty thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 31 34 36 42 51 62 63 68 84 93 102 119 124 126 153 186 204 217 238 252 279 289 306 357 372 434 476 527 558 578 612 651 714 867 868 1054 1071 1116 1156 1302 1428 1581 1734 1953 2023 2108 2142 2601 2604 3162 3468 3689 3906 4046 4284 4743 4913 5202 6069 6324 7378 7812 8092 8959 9486 9826 10404 11067 12138 14739 14756 17918 18207 18972 19652 22134 24276 26877 29478 33201 34391 35836 36414 44217 44268 53754 58956 62713 66402 68782 72828 80631 88434 103173 107508 125426 132804 137564 152303 161262 176868 188139 206346 250852 304606 309519 322524 376278 412692 456909 564417 609212 619038 752556 913818 1066121 1128834 1238076 1370727 1827636 2132242 2257668 2741454 3198363 4264484 5482908 6396726 9595089 12793452 19190178 38380356