Search a number
-
+
104445312 = 2731012693
BaseRepresentation
bin1100011100110…
…11010110000000
321021112101000220
412032123112000
5203214222222
614210343040
72405525166
oct616332600
9237471026
10104445312
1153a58344
122ab8aa80
131883bc7a
14dc2b236
159281b5c
hex639b580

104445312 has 64 divisors (see below), whose sum is σ = 280283760. Its totient is φ = 34457600.

The previous prime is 104445311. The next prime is 104445329. The reversal of 104445312 is 213544401.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104445311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37438 + ... + 40130.

Almost surely, 2104445312 is an apocalyptic number.

104445312 is a gapful number since it is divisible by the number (12) 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 104445312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140141880).

104445312 is an abundant number, since it is smaller than the sum of its proper divisors (175838448).

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

104445312 is a wasteful number, since it uses less digits than its factorization.

104445312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2811 (or 2799 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 104445312 is about 10219.8489225624. The cubic root of 104445312 is about 470.9371853790.

Adding to 104445312 its reverse (213544401), we get a palindrome (317989713).

The spelling of 104445312 in words is "one hundred four million, four hundred forty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 101 128 192 202 303 384 404 606 808 1212 1616 2424 2693 3232 4848 5386 6464 8079 9696 10772 12928 16158 19392 21544 32316 38784 43088 64632 86176 129264 172352 258528 271993 344704 517056 543986 815979 1034112 1087972 1631958 2175944 3263916 4351888 6527832 8703776 13055664 17407552 26111328 34815104 52222656 104445312