Search a number
-
+
12373296 = 2431379251
BaseRepresentation
bin101111001100…
…110100110000
3212021121222020
4233030310300
511131421141
61121111440
7210112515
oct57146460
925247866
1012373296
116a91271
124188580
132742ba0
14190130c
151146266
hexbccd30

12373296 has 80 divisors (see below), whose sum is σ = 34997760. Its totient is φ = 3744000.

The previous prime is 12373289. The next prime is 12373307. The reversal of 12373296 is 69237321.

It is a happy number.

12373296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49171 + ... + 49421.

It is an arithmetic number, because the mean of its divisors is an integer number (437472).

Almost surely, 212373296 is an apocalyptic number.

12373296 is a gapful number since it is divisible by the number (16) 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 12373296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17498880).

12373296 is an abundant number, since it is smaller than the sum of its proper divisors (22624464).

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

12373296 is a wasteful number, since it uses less digits than its factorization.

12373296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 348 counting only the distinct ones).

The product of its digits is 13608, while the sum is 33.

The square root of 12373296 is about 3517.5696155158. The cubic root of 12373296 is about 231.2926333863.

The spelling of 12373296 in words is "twelve million, three hundred seventy-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 79 104 156 158 208 237 251 312 316 474 502 624 632 753 948 1004 1027 1264 1506 1896 2008 2054 3012 3081 3263 3792 4016 4108 6024 6162 6526 8216 9789 12048 12324 13052 16432 19578 19829 24648 26104 39156 39658 49296 52208 59487 78312 79316 118974 156624 158632 237948 257777 317264 475896 515554 773331 951792 1031108 1546662 2062216 3093324 4124432 6186648 12373296