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12314040 = 2335891153
BaseRepresentation
bin101110111110…
…010110111000
3212011121200120
4232332112320
511123022130
61115533240
7206444664
oct56762670
925147616
1012314040
116a507a2
12415a220
132721c1b
1418c78a4
151133910
hexbbe5b8

12314040 has 64 divisors (see below), whose sum is σ = 37389600. Its totient is φ = 3244032.

The previous prime is 12314023. The next prime is 12314051. The reversal of 12314040 is 4041321.

It is a super-2 number, since 2×123140402 = 303271162243200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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, 10104 + ... + 11256.

Almost surely, 212314040 is an apocalyptic number.

12314040 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 12314040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18694800).

12314040 is an abundant number, since it is smaller than the sum of its proper divisors (25075560).

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

12314040 is a wasteful number, since it uses less digits than its factorization.

12314040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1256 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 12314040 is about 3509.1366459572. The cubic root of 12314040 is about 230.9228204899.

Adding to 12314040 its reverse (4041321), we get a palindrome (16355361).

The spelling of 12314040 in words is "twelve million, three hundred fourteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 89 120 178 267 356 445 534 712 890 1068 1153 1335 1780 2136 2306 2670 3459 3560 4612 5340 5765 6918 9224 10680 11530 13836 17295 23060 27672 34590 46120 69180 102617 138360 205234 307851 410468 513085 615702 820936 1026170 1231404 1539255 2052340 2462808 3078510 4104680 6157020 12314040