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234354141 = 3473167199
BaseRepresentation
bin11011111011111…
…11010111011101
3121022222102110000
431331333113131
5434443313031
635131004513
75543656140
oct1575772735
9538872400
10234354141
1111031780a
1266599739
13397250b8
14231a6057
15158933e6
hexdf7f5dd

234354141 has 80 divisors (see below), whose sum is σ = 421273600. Its totient is φ = 127020960.

The previous prime is 234354121. The next prime is 234354157. The reversal of 234354141 is 141453432.

It is a happy number.

It is not a de Polignac number, because 234354141 - 211 = 234352093 is a prime.

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

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234354121) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1177560 + ... + 1177758.

It is an arithmetic number, because the mean of its divisors is an integer number (5265920).

Almost surely, 2234354141 is an apocalyptic number.

234354141 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

234354141 is a deficient number, since it is larger than the sum of its proper divisors (186919459).

234354141 is a wasteful number, since it uses less digits than its factorization.

234354141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 307 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 234354141 is about 15308.6296251493. The cubic root of 234354141 is about 616.5347272959.

The spelling of 234354141 in words is "two hundred thirty-four million, three hundred fifty-four thousand, one hundred forty-one".

Divisors: 1 3 7 9 21 27 31 63 67 81 93 189 199 201 217 279 469 567 597 603 651 837 1393 1407 1791 1809 1953 2077 2511 4179 4221 5373 5427 5859 6169 6231 12537 12663 13333 14539 16119 17577 18507 18693 37611 37989 39999 43183 43617 55521 56079 93331 112833 119997 129549 130851 166563 168237 279993 359991 388647 392553 413323 499689 839979 1079973 1165941 1177659 1239969 2519937 2893261 3497823 3719907 7559811 8679783 11159721 26039349 33479163 78118047 234354141