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234423324432 = 243211193766811
BaseRepresentation
bin1101101001010010111…
…0000000111100010000
3211102002100211202021100
43122110232000330100
512320044332340212
6255405333224400
722636141244313
oct3322456007420
9742070752240
10234423324432
1190466945360
1239523a92100
131914bc228bb
14b4bbb9697a
156170592bdc
hex3694b80f10

234423324432 has 120 divisors (see below), whose sum is σ = 719410749408. Its totient is φ = 70669209600.

The previous prime is 234423324427. The next prime is 234423324439.

234423324432 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (234423324439) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77694 + ... + 689117.

Almost surely, 2234423324432 is an apocalyptic number.

234423324432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234423324432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359705374704).

234423324432 is an abundant number, since it is smaller than the sum of its proper divisors (484987424976).

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

234423324432 is a wasteful number, since it uses less digits than its factorization.

234423324432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767029 (or 767020 counting only the distinct ones).

The product of its digits is 331776, while the sum is 36.

It can be divided in two parts, 234423 and 324432, that added together give a palindrome (558855).

The spelling of 234423324432 in words is "two hundred thirty-four billion, four hundred twenty-three million, three hundred twenty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 193 198 264 386 396 528 579 772 792 1158 1544 1584 1737 2123 2316 3088 3474 4246 4632 6369 6948 8492 9264 12738 13896 16984 19107 25476 27792 33968 38214 50952 76428 101904 152856 305712 766811 1533622 2300433 3067244 4600866 6134488 6901299 8434921 9201732 12268976 13802598 16869842 18403464 25304763 27605196 33739684 36806928 50609526 55210392 67479368 75914289 101219052 110420784 134958736 147994523 151828578 202438104 295989046 303657156 404876208 443983569 591978092 607314312 887967138 1183956184 1214628624 1331950707 1627939753 1775934276 2367912368 2663901414 3255879506 3551868552 4883819259 5327802828 6511759012 7103737104 9767638518 10655605656 13023518024 14651457777 19535277036 21311211312 26047036048 29302915554 39070554072 58605831108 78141108144 117211662216 234423324432