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242344905 = 351119233361
BaseRepresentation
bin11100111000111…
…10001111001001
3121220000101201020
432130132033021
5444020014110
640014143053
76001616625
oct1634361711
9556011636
10242344905
11114885350
12691b1a89
133b29226a
1424286185
1516420d70
hexe71e3c9

242344905 has 64 divisors (see below), whose sum is σ = 464762880. Its totient is φ = 106444800.

The previous prime is 242344873. The next prime is 242344933. The reversal of 242344905 is 509443242.

It is not a de Polignac number, because 242344905 - 25 = 242344873 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 70425 + ... + 73785.

It is an arithmetic number, because the mean of its divisors is an integer number (7261920).

Almost surely, 2242344905 is an apocalyptic number.

It is an amenable number.

242344905 is a deficient number, since it is larger than the sum of its proper divisors (222417975).

242344905 is a wasteful number, since it uses less digits than its factorization.

242344905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3422.

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 242344905 is about 15567.4309055798. The cubic root of 242344905 is about 623.4638798958.

The spelling of 242344905 in words is "two hundred forty-two million, three hundred forty-four thousand, nine hundred five".

Divisors: 1 3 5 11 15 19 23 33 55 57 69 95 115 165 209 253 285 345 437 627 759 1045 1265 1311 2185 3135 3361 3795 4807 6555 10083 14421 16805 24035 36971 50415 63859 72105 77303 110913 184855 191577 231909 319295 386515 554565 702449 850333 957885 1159545 1468757 2107347 2550999 3512245 4251665 4406271 7343785 10536735 12754995 16156327 22031355 48468981 80781635 242344905