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12306440 = 235291032
BaseRepresentation
bin101110111100…
…100000001000
3212011020021002
4232330200020
511122301230
61115434132
7206413556
oct56744010
925136232
1012306440
116a46013
124155948
13271b623
1418c4bd6
151131545
hexbbc808

12306440 has 48 divisors (see below), whose sum is σ = 28925100. Its totient is φ = 4706688.

The previous prime is 12306439. The next prime is 12306443. The reversal of 12306440 is 4460321.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 12264004 + 42436 = 3502^2 + 206^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (12306443) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 119429 + ... + 119531.

Almost surely, 212306440 is an apocalyptic number.

12306440 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 12306440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14462550).

12306440 is an abundant number, since it is smaller than the sum of its proper divisors (16618660).

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

12306440 is a wasteful number, since it uses less digits than its factorization.

12306440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 12306440 is about 3508.0535913808. The cubic root of 12306440 is about 230.8753036009.

Adding to 12306440 its reverse (4460321), we get a palindrome (16766761).

The spelling of 12306440 in words is "twelve million, three hundred six thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 103 116 145 206 232 290 412 515 580 824 1030 1160 2060 2987 4120 5974 10609 11948 14935 21218 23896 29870 42436 53045 59740 84872 106090 119480 212180 307661 424360 615322 1230644 1538305 2461288 3076610 6153220 12306440