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12368430 = 2335192411
BaseRepresentation
bin101111001011…
…101000101110
3212021101022000
4233023220232
511131242210
61121033130
7210062364
oct57135056
925241260
1012368430
116a88648
1241857a6
1327408c9
1418dd634
151144ac0
hexbcba2e

12368430 has 64 divisors (see below), whose sum is σ = 34732800. Its totient is φ = 3123360.

The previous prime is 12368423. The next prime is 12368437. The reversal of 12368430 is 3486321.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12368423) and next prime (12368437).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 12368394 and 12368403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12368437) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3925 + ... + 6335.

It is an arithmetic number, because the mean of its divisors is an integer number (542700).

Almost surely, 212368430 is an apocalyptic number.

12368430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12368430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17366400).

12368430 is an abundant number, since it is smaller than the sum of its proper divisors (22364370).

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

12368430 is a wasteful number, since it uses less digits than its factorization.

12368430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2446 (or 2440 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 12368430 is about 3516.8778767538. The cubic root of 12368430 is about 231.2623095468.

The spelling of 12368430 in words is "twelve million, three hundred sixty-eight thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 90 95 114 135 171 190 270 285 342 513 570 855 1026 1710 2411 2565 4822 5130 7233 12055 14466 21699 24110 36165 43398 45809 65097 72330 91618 108495 130194 137427 216990 229045 274854 325485 412281 458090 650970 687135 824562 1236843 1374270 2061405 2473686 4122810 6184215 12368430