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234431343432 = 2332111322769167
BaseRepresentation
bin1101101001010100110…
…0100110101101001000
3211102002220221011021100
43122111030212231020
512320103410442212
6255410221141400
722636266353316
oct3322514465510
9742086834240
10234431343432
1190470422130
12395266ba860
131915079c880
14b4bcc830b6
156171128bdc
hex3695326b48

234431343432 has 96 divisors (see below), whose sum is σ = 745917943680. Its totient is φ = 65575198080.

The previous prime is 234431343331. The next prime is 234431343437. The reversal of 234431343432 is 234343134432.

234431343432 is a `hidden beast` number, since 23 + 443 + 134 + 34 + 32 = 666.

234431343432 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 (234431343437) 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, 11374288 + ... + 11394879.

It is an arithmetic number, because the mean of its divisors is an integer number (7769978580).

Almost surely, 2234431343432 is an apocalyptic number.

234431343432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

234431343432 is an abundant number, since it is smaller than the sum of its proper divisors (511486600248).

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

234431343432 is a wasteful number, since it uses less digits than its factorization.

234431343432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22769203 (or 22769196 counting only the distinct ones).

The product of its digits is 248832, while the sum is 36.

Adding to 234431343432 its reverse (234343134432), we get a palindrome (468774477864).

The spelling of 234431343432 in words is "two hundred thirty-four billion, four hundred thirty-one million, three hundred forty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 13 18 22 24 26 33 36 39 44 52 66 72 78 88 99 104 117 132 143 156 198 234 264 286 312 396 429 468 572 792 858 936 1144 1287 1716 2574 3432 5148 10296 22769167 45538334 68307501 91076668 136615002 182153336 204922503 250460837 273230004 295999171 409845006 500921674 546460008 591998342 751382511 819690012 887997513 1001843348 1183996684 1502765022 1639380024 1775995026 2003686696 2254147533 2367993368 2663992539 3005530044 3255990881 3551990052 4508295066 5327985078 6011060088 6511981762 7103980104 9016590132 9767972643 10655970156 13023963524 18033180264 19535945286 21311940312 26047927048 29303917929 39071890572 58607835858 78143781144 117215671716 234431343432