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3923712 = 283213131
BaseRepresentation
bin1110111101111100000000
321101100022200
432331330000
52001024322
6220033200
745231252
oct16757400
97340280
103923712
11223aa41
121392800
13a74c30
14741cd2
155278ac
hex3bdf00

3923712 has 108 divisors (see below), whose sum is σ = 12276264. Its totient is φ = 1198080.

The previous prime is 3923687. The next prime is 3923723. The reversal of 3923712 is 2173293.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29887 + ... + 30017.

Almost surely, 23923712 is an apocalyptic number.

3923712 is a gapful number since it is divisible by the number (32) 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 3923712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6138132).

3923712 is an abundant number, since it is smaller than the sum of its proper divisors (8352552).

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

3923712 is a wasteful number, since it uses less digits than its factorization.

3923712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 149 counting only the distinct ones).

The product of its digits is 2268, while the sum is 27.

The square root of 3923712 is about 1980.8361870685. The cubic root of 3923712 is about 157.7244569910.

The spelling of 3923712 in words is "three million, nine hundred twenty-three thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 131 144 156 192 208 234 256 262 288 312 384 393 416 468 524 576 624 768 786 832 936 1048 1152 1179 1248 1572 1664 1703 1872 2096 2304 2358 2496 3144 3328 3406 3744 4192 4716 4992 5109 6288 6812 7488 8384 9432 9984 10218 12576 13624 14976 15327 16768 18864 20436 25152 27248 29952 30654 33536 37728 40872 50304 54496 61308 75456 81744 100608 108992 122616 150912 163488 217984 245232 301824 326976 435968 490464 653952 980928 1307904 1961856 3923712