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12338430 = 23513171861
BaseRepresentation
bin101111000100…
…010011111110
3212012212010220
4233010103332
511124312210
61120242210
7206606046
oct57042376
925185126
1012338430
116a68055
124170366
132730060
1418d2726
15113ac70
hexbc44fe

12338430 has 64 divisors (see below), whose sum is σ = 33784128. Its totient is φ = 2856960.

The previous prime is 12338423. The next prime is 12338437. The reversal of 12338430 is 3483321.

It is an interprime number because it is at equal distance from previous prime (12338423) and next prime (12338437).

It is a self number, because there is not a number n which added to its sum of digits gives 12338430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12338437) 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, 5700 + ... + 7560.

It is an arithmetic number, because the mean of its divisors is an integer number (527877).

Almost surely, 212338430 is an apocalyptic number.

12338430 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 12338430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16892064).

12338430 is an abundant number, since it is smaller than the sum of its proper divisors (21445698).

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

12338430 is a wasteful number, since it uses less digits than its factorization.

12338430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1901.

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 12338430 is about 3512.6101406219. The cubic root of 12338430 is about 231.0751802670.

The spelling of 12338430 in words is "twelve million, three hundred thirty-eight thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 17 26 30 34 39 51 65 78 85 102 130 170 195 221 255 390 442 510 663 1105 1326 1861 2210 3315 3722 5583 6630 9305 11166 18610 24193 27915 31637 48386 55830 63274 72579 94911 120965 145158 158185 189822 241930 316370 362895 411281 474555 725790 822562 949110 1233843 2056405 2467686 4112810 6169215 12338430