Search a number
-
+
12243400 = 23521317277
BaseRepresentation
bin101110101101…
…000111001000
3212001000210021
4232231013020
511113242100
61114230224
7206032021
oct56550710
925030707
1012243400
116a02714
124125374
1326c8a20
1418a9c48
15111ca1a
hexbad1c8

12243400 has 96 divisors (see below), whose sum is σ = 32576040. Its totient is φ = 4239360.

The previous prime is 12243389. The next prime is 12243401. The reversal of 12243400 is 434221.

12243400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 7396 + 12236004 = 86^2 + 3498^2 .

It is not an unprimeable number, because it can be changed into a prime (12243401) 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, 44062 + ... + 44338.

Almost surely, 212243400 is an apocalyptic number.

12243400 is a gapful number since it is divisible by the number (10) 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 12243400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16288020).

12243400 is an abundant number, since it is smaller than the sum of its proper divisors (20332640).

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

12243400 is a wasteful number, since it uses less digits than its factorization.

12243400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 12243400 is about 3499.0570158258. The cubic root of 12243400 is about 230.4804073295.

Adding to 12243400 its reverse (434221), we get a palindrome (12677621).

It can be divided in two parts, 1224 and 3400, that multiplied together give a square (4161600 = 20402).

The spelling of 12243400 in words is "twelve million, two hundred forty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 17 20 25 26 34 40 50 52 65 68 85 100 104 130 136 170 200 221 260 277 325 340 425 442 520 554 650 680 850 884 1105 1108 1300 1385 1700 1768 2210 2216 2600 2770 3400 3601 4420 4709 5525 5540 6925 7202 8840 9418 11050 11080 13850 14404 18005 18836 22100 23545 27700 28808 36010 37672 44200 47090 55400 61217 72020 90025 94180 117725 122434 144040 180050 188360 235450 244868 306085 360100 470900 489736 612170 720200 941800 1224340 1530425 2448680 3060850 6121700 12243400