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344124110430 = 232573113463523
BaseRepresentation
bin1010000000111110110…
…01010011011001011110
31012220020121020002012100
411000133121103121132
521114231233013210
6422031033545530
733601500450612
oct5003731233136
91186217202170
10344124110430
11122a400a8571
125683a5752a6
13265b24386a9
141292732d342
158e412845c0
hex501f65365e

344124110430 has 96 divisors (see below), whose sum is σ = 915007500576. Its totient is φ = 89708193792.

The previous prime is 344124110413. The next prime is 344124110441. The reversal of 344124110430 is 34011421443.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 344124110394 and 344124110403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 510649 + ... + 974171.

It is an arithmetic number, because the mean of its divisors is an integer number (9531328131).

Almost surely, 2344124110430 is an apocalyptic number.

344124110430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 344124110430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457503750288).

344124110430 is an abundant number, since it is smaller than the sum of its proper divisors (570883390146).

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

344124110430 is a wasteful number, since it uses less digits than its factorization.

344124110430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463722 (or 463719 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 344124110430 its reverse (34011421443), we get a palindrome (378135531873).

The spelling of 344124110430 in words is "three hundred forty-four billion, one hundred twenty-four million, one hundred ten thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 73 90 113 146 219 226 339 365 438 565 657 678 730 1017 1095 1130 1314 1695 2034 2190 3285 3390 5085 6570 8249 10170 16498 24747 41245 49494 74241 82490 123735 148482 247470 371205 463523 742410 927046 1390569 2317615 2781138 4171707 4635230 6952845 8343414 13905690 20858535 33837179 41717070 52378099 67674358 101511537 104756198 157134297 169185895 203023074 261890495 304534611 314268594 338371790 471402891 507557685 523780990 609069222 785671485 942805782 1015115370 1522673055 1571342970 2357014455 3045346110 3823601227 4714028910 7647202454 11470803681 19118006135 22941607362 34412411043 38236012270 57354018405 68824822086 114708036810 172062055215 344124110430