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12434740 = 2251943761
BaseRepresentation
bin101111011011…
…110100110100
3212101202020221
4233123310310
511140402430
61122304124
7210456613
oct57336464
925352227
1012434740
11702344a
1241b8044
132764b46
14191987a
15115957a
hexbdbd34

12434740 has 48 divisors (see below), whose sum is σ = 28163520. Its totient is φ = 4596480.

The previous prime is 12434729. The next prime is 12434753. The reversal of 12434740 is 4743421.

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, 15960 + ... + 16720.

It is an arithmetic number, because the mean of its divisors is an integer number (586740).

Almost surely, 212434740 is an apocalyptic number.

12434740 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 12434740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14081760).

12434740 is an abundant number, since it is smaller than the sum of its proper divisors (15728780).

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

12434740 is a wasteful number, since it uses less digits than its factorization.

12434740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 25.

The square root of 12434740 is about 3526.2926707805. The cubic root of 12434740 is about 231.6748566594.

The spelling of 12434740 in words is "twelve million, four hundred thirty-four thousand, seven hundred forty".

Divisors: 1 2 4 5 10 19 20 38 43 76 86 95 172 190 215 380 430 761 817 860 1522 1634 3044 3268 3805 4085 7610 8170 14459 15220 16340 28918 32723 57836 65446 72295 130892 144590 163615 289180 327230 621737 654460 1243474 2486948 3108685 6217370 12434740