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393389112 = 233172431319
BaseRepresentation
bin10111011100101…
…010010000111000
31000102020020102010
4113130222100320
51301201422422
6103011405520
712514516014
oct2734522070
91012206363
10393389112
11192070076
12ab8b38a0
136366852c
143a363544
1524809b0c
hex1772a438

393389112 has 96 divisors (see below), whose sum is σ = 1069833600. Its totient is φ = 120454656.

The previous prime is 393389081. The next prime is 393389123. The reversal of 393389112 is 211983393.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 297589 + ... + 298907.

It is an arithmetic number, because the mean of its divisors is an integer number (11144100).

Almost surely, 2393389112 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 393389112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534916800).

393389112 is an abundant number, since it is smaller than the sum of its proper divisors (676444488).

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

393389112 is a wasteful number, since it uses less digits than its factorization.

393389112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1405 (or 1384 counting only the distinct ones).

The product of its digits is 34992, while the sum is 39.

The square root of 393389112 is about 19834.0392255335. The cubic root of 393389112 is about 732.7246101879.

The spelling of 393389112 in words is "three hundred ninety-three million, three hundred eighty-nine thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 17 24 34 43 51 68 86 102 129 136 172 204 258 289 344 408 516 578 731 867 1032 1156 1319 1462 1734 2193 2312 2638 2924 3468 3957 4386 5276 5848 6936 7914 8772 10552 12427 15828 17544 22423 24854 31656 37281 44846 49708 56717 67269 74562 89692 99416 113434 134538 149124 170151 179384 226868 269076 298248 340302 381191 453736 538152 680604 762382 964189 1143573 1361208 1524764 1928378 2287146 2892567 3049528 3856756 4574292 5785134 7713512 9148584 11570268 16391213 23140536 32782426 49173639 65564852 98347278 131129704 196694556 393389112