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234235405344 = 2534359961747
BaseRepresentation
bin1101101000100110000…
…1001010010000100000
3211101121021020110202010
43122021201022100200
512314203230432334
6255334541352520
722631400044253
oct3321141122040
9741537213663
10234235405344
119037a863a26
1239490b68740
131911c008385
14b4a0c3b09a
15615dd230e9
hex368984a420

234235405344 has 96 divisors (see below), whose sum is σ = 639831709440. Its totient is φ = 74970024192.

The previous prime is 234235405337. The next prime is 234235405373. The reversal of 234235405344 is 443504532432.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 237322 + ... + 724425.

It is an arithmetic number, because the mean of its divisors is an integer number (6664913640).

Almost surely, 2234235405344 is an apocalyptic number.

234235405344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

234235405344 is an abundant number, since it is smaller than the sum of its proper divisors (405596304096).

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

234235405344 is a wasteful number, since it uses less digits than its factorization.

234235405344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961862 (or 961854 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 39.

Adding to 234235405344 its reverse (443504532432), we get a palindrome (677739937776).

The spelling of 234235405344 in words is "two hundred thirty-four billion, two hundred thirty-five million, four hundred five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 59 86 96 118 129 172 177 236 258 344 354 472 516 688 708 944 1032 1376 1416 1888 2064 2537 2832 4128 5074 5664 7611 10148 15222 20296 30444 40592 60888 81184 121776 243552 961747 1923494 2885241 3846988 5770482 7693976 11540964 15387952 23081928 30775904 41355121 46163856 56743073 82710242 92327712 113486146 124065363 165420484 170229219 226972292 248130726 330840968 340458438 453944584 496261452 661681936 680916876 907889168 992522904 1323363872 1361833752 1815778336 1985045808 2439952139 2723667504 3970091616 4879904278 5447335008 7319856417 9759808556 14639712834 19519617112 29279425668 39039234224 58558851336 78078468448 117117702672 234235405344