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344232042 = 237114783191
BaseRepresentation
bin10100100001001…
…001000001101010
3212222201210120220
4110201021001222
51201110411132
654054030510
711346631650
oct2441110152
9788653526
10344232042
111673456a0
1297348436
13564169cb
1433a08dd0
1520349a2c
hex1484906a

344232042 has 128 divisors (see below), whose sum is σ = 891813888. Its totient is φ = 86001600.

The previous prime is 344232041. The next prime is 344232043. The reversal of 344232042 is 240232443.

It is an interprime number because it is at equal distance from previous prime (344232041) and next prime (344232043).

It is not an unprimeable number, because it can be changed into a prime (344232041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1802167 + ... + 1802357.

It is an arithmetic number, because the mean of its divisors is an integer number (6967296).

Almost surely, 2344232042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 344232042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445906944).

344232042 is an abundant number, since it is smaller than the sum of its proper divisors (547581846).

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

344232042 is a wasteful number, since it uses less digits than its factorization.

344232042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344.

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 344232042 is about 18553.4913695509. The cubic root of 344232042 is about 700.8371223051.

Adding to 344232042 its reverse (240232443), we get a palindrome (584464485).

The spelling of 344232042 in words is "three hundred forty-four million, two hundred thirty-two thousand, forty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 47 66 77 83 94 141 154 166 191 231 249 282 329 382 462 498 517 573 581 658 913 987 1034 1146 1162 1337 1551 1743 1826 1974 2101 2674 2739 3102 3486 3619 3901 4011 4202 5478 6303 6391 7238 7802 8022 8977 10857 11703 12606 12782 14707 15853 17954 19173 21714 23406 26931 27307 29414 31706 38346 42911 44121 47559 53862 54614 62839 81921 85822 88242 95118 98747 110971 125678 128733 163842 174383 188517 197494 221942 257466 296241 300377 332913 348766 377034 523149 592482 600754 665826 691229 745091 901131 1046298 1220681 1382458 1490182 1802262 2073687 2235273 2441362 3662043 4147374 4470546 5215637 7324086 8196001 10431274 15646911 16392002 24588003 31293822 49176006 57372007 114744014 172116021 344232042