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386248338 = 23472359251
BaseRepresentation
bin10111000001011…
…010111010010010
3222220210110010000
4113001122322102
51242334421323
6102154350430
712400025310
oct2701327222
9886713100
10386248338
11189033103
12a942b416
1362038218
14394250b0
1523d98e43
hex1705ae92

386248338 has 160 divisors (see below), whose sum is σ = 1053803520. Its totient is φ = 103356000.

The previous prime is 386248337. The next prime is 386248339. The reversal of 386248338 is 833842683.

It is an interprime number because it is at equal distance from previous prime (386248337) and next prime (386248339).

It is a junction number, because it is equal to n+sod(n) for n = 386248293 and 386248302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (386248337) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1538713 + ... + 1538963.

It is an arithmetic number, because the mean of its divisors is an integer number (6586272).

Almost surely, 2386248338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 386248338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526901760).

386248338 is an abundant number, since it is smaller than the sum of its proper divisors (667555182).

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

386248338 is a wasteful number, since it uses less digits than its factorization.

386248338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 345 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 386248338 is about 19653.2017238922. The cubic root of 386248338 is about 728.2640543255.

The spelling of 386248338 in words is "three hundred eighty-six million, two hundred forty-eight thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 23 27 42 46 54 59 63 69 81 118 126 138 161 162 177 189 207 251 322 354 378 413 414 483 502 531 567 621 753 826 966 1062 1134 1239 1242 1357 1449 1506 1593 1757 1863 2259 2478 2714 2898 3186 3514 3717 3726 4071 4347 4518 4779 5271 5773 6777 7434 8142 8694 9499 9558 10542 11151 11546 12213 13041 13554 14809 15813 17319 18998 20331 22302 24426 26082 28497 29618 31626 33453 34638 36639 40411 40662 44427 47439 51957 56994 66906 73278 80822 85491 88854 94878 103663 103914 109917 121233 133281 142317 155871 170982 207326 219834 242466 256473 266562 284634 310989 311742 340607 363699 399843 467613 512946 621978 681214 727398 769419 799686 932967 935226 1021821 1091097 1199529 1538838 1865934 2043642 2182194 2384249 2399058 2798901 3065463 3273291 4768498 5597802 6130926 6546582 7152747 8396703 9196389 14305494 16793406 18392778 21458241 27589167 42916482 55178334 64374723 128749446 193124169 386248338