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234360423444 = 223723353343639
BaseRepresentation
bin1101101001000011111…
…0000100010000010100
3211101220222111001100010
43122100332010100110
512314432232022234
6255355205120220
722634445505440
oct3322076042024
9741828431303
10234360423444
1190434392974
12395069b9070
131913bb9b394
14b4b36a1820
156169cba6e9
hex3690f84414

234360423444 has 96 divisors (see below), whose sum is σ = 653982658560. Its totient is φ = 63867184128.

The previous prime is 234360423439. The next prime is 234360423461. The reversal of 234360423444 is 444324063432.

It is a super-3 number, since 3×2343604234443 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 510177 + ... + 853815.

It is an arithmetic number, because the mean of its divisors is an integer number (6812319360).

Almost surely, 2234360423444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234360423444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326991329280).

234360423444 is an abundant number, since it is smaller than the sum of its proper divisors (419622235116).

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

234360423444 is a wasteful number, since it uses less digits than its factorization.

234360423444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344029 (or 344027 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 39.

Adding to 234360423444 its reverse (444324063432), we get a palindrome (678684486876).

The spelling of 234360423444 in words is "two hundred thirty-four billion, three hundred sixty million, four hundred twenty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 138 161 276 322 353 483 644 706 966 1059 1412 1932 2118 2471 4236 4942 7413 8119 9884 14826 16238 24357 29652 32476 48714 56833 97428 113666 170499 227332 340998 343639 681996 687278 1030917 1374556 2061834 2405473 4123668 4810946 7216419 7903697 9621892 14432838 15807394 23711091 28865676 31614788 47422182 55325879 94844364 110651758 121304567 165977637 221303516 242609134 331955274 363913701 485218268 663910548 727827402 849131969 1455654804 1698263938 2547395907 2790005041 3396527876 5094791814 5580010082 8370015123 10189583628 11160020164 16740030246 19530035287 33480060492 39060070574 58590105861 78120141148 117180211722 234360423444