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3914064 = 2432711353
BaseRepresentation
bin1110111011100101010000
321100212002100
432323211100
52000222224
6215520400
745161160
oct16734520
97325070
103914064
112233770
121389100
13a7071b
1473c5a0
15524ac9
hex3bb950

3914064 has 120 divisors (see below), whose sum is σ = 13695552. Its totient is φ = 1013760.

The previous prime is 3914011. The next prime is 3914069. The reversal of 3914064 is 4604193.

3914064 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

3914064 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3914069) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10912 + ... + 11264.

Almost surely, 23914064 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 3914064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6847776).

3914064 is an abundant number, since it is smaller than the sum of its proper divisors (9781488).

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

3914064 is a wasteful number, since it uses less digits than its factorization.

3914064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3914064 is about 1978.3993530124. The cubic root of 3914064 is about 157.5950748716.

It can be divided in two parts, 39140 and 64, that added together give a square (39204 = 1982).

The spelling of 3914064 in words is "three million, nine hundred fourteen thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 33 36 42 44 48 56 63 66 72 77 84 88 99 112 126 132 144 154 168 176 198 231 252 264 308 336 353 396 462 504 528 616 693 706 792 924 1008 1059 1232 1386 1412 1584 1848 2118 2471 2772 2824 3177 3696 3883 4236 4942 5544 5648 6354 7413 7766 8472 9884 11088 11649 12708 14826 15532 16944 19768 22239 23298 25416 27181 29652 31064 34947 39536 44478 46596 50832 54362 59304 62128 69894 81543 88956 93192 108724 118608 139788 163086 177912 186384 217448 244629 279576 326172 355824 434896 489258 559152 652344 978516 1304688 1957032 3914064