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232041432340 = 225174316679521
BaseRepresentation
bin1101100000011010111…
…1110100010100010100
3211011221100220002120201
43120012233310110110
512300210101313330
6254333125110244
722523126426434
oct3300657642424
9734840802521
10232041432340
118a4543805a3
1238b7a258384
1318b5c6070b3
14b3336cc2c4
1560813e6eca
hex3606bf4514

232041432340 has 96 divisors (see below), whose sum is σ = 528321999744. Its totient is φ = 85265080320.

The previous prime is 232041432269. The next prime is 232041432341. The reversal of 232041432340 is 43234140232.

232041432340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 232041432299 and 232041432308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232041432341) 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, 24366780 + ... + 24376300.

It is an arithmetic number, because the mean of its divisors is an integer number (5503354164).

Almost surely, 2232041432340 is an apocalyptic number.

232041432340 is a gapful number since it is divisible by the number (20) 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 232041432340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264160999872).

232041432340 is an abundant number, since it is smaller than the sum of its proper divisors (296280567404).

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

232041432340 is a wasteful number, since it uses less digits than its factorization.

232041432340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11257 (or 11255 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 232041432340 its reverse (43234140232), we get a palindrome (275275572572).

The spelling of 232041432340 in words is "two hundred thirty-two billion, forty-one million, four hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 34 43 68 85 86 170 172 215 340 430 731 860 1462 1667 2924 3334 3655 6668 7310 8335 9521 14620 16670 19042 28339 33340 38084 47605 56678 71681 95210 113356 141695 143362 161857 190420 283390 286724 323714 358405 409403 566780 647428 716810 809285 818806 1218577 1433620 1618570 1637612 2047015 2437154 3237140 4094030 4874308 6092885 6959851 8188060 12185770 13919702 15871507 24371540 27839404 31743014 34799255 63486028 69598510 79357535 139197020 158715070 269815619 317430140 539631238 682474801 1079262476 1349078095 1364949602 2698156190 2729899204 3412374005 5396312380 6824748010 11602071617 13649496020 23204143234 46408286468 58010358085 116020716170 232041432340