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38232324 = 22341329313
BaseRepresentation
bin1001000111011…
…0000100000100
32122221101220000
42101312010010
534241413244
63443241300
7642653334
oct221660404
978841800
1038232324
111a643569
1210979230
137bc80a0
1451130c4
153553169
hex2476104

38232324 has 120 divisors (see below), whose sum is σ = 111702360. Its totient is φ = 11321856.

The previous prime is 38232323. The next prime is 38232329. The reversal of 38232324 is 42323283.

It can be written as a sum of positive squares in 4 ways, for example, as 777924 + 37454400 = 882^2 + 6120^2 .

It is a hoax number, since the sum of its digits (27) 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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38232323) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 121992 + ... + 122304.

It is an arithmetic number, because the mean of its divisors is an integer number (930853).

Almost surely, 238232324 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 38232324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55851180).

38232324 is an abundant number, since it is smaller than the sum of its proper divisors (73470036).

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

38232324 is a wasteful number, since it uses less digits than its factorization.

38232324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 360 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 38232324 is about 6183.2292533918. The cubic root of 38232324 is about 336.8812961168.

The spelling of 38232324 in words is "thirty-eight million, two hundred thirty-two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 29 36 39 52 54 58 78 81 87 108 116 117 156 162 174 234 261 313 324 348 351 377 468 522 626 702 754 783 939 1044 1053 1131 1252 1404 1508 1566 1878 2106 2262 2349 2817 3132 3393 3756 4069 4212 4524 4698 5634 6786 8138 8451 9077 9396 10179 11268 12207 13572 16276 16902 18154 20358 24414 25353 27231 30537 33804 36308 36621 40716 48828 50706 54462 61074 73242 81693 101412 108924 109863 118001 122148 146484 163386 219726 236002 245079 326772 329589 354003 439452 472004 490158 659178 708006 735237 980316 1062009 1318356 1416012 1470474 2124018 2940948 3186027 4248036 6372054 9558081 12744108 19116162 38232324