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234780351648 = 25323173361357
BaseRepresentation
bin1101101010100111111…
…1111101110010100000
3211110000020122121112120
43122221333331302200
512321312232223043
6255505005424240
722651035030063
oct3325177756240
9743006577476
10234780351648
119062a42a177
123960356b080
13191a7b994cb
14b5133728da
156191ab8983
hex36a9ffdca0

234780351648 has 96 divisors (see below), whose sum is σ = 643475581056. Its totient is φ = 74813088768.

The previous prime is 234780351629. The next prime is 234780351649. The reversal of 234780351648 is 846153087432.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 234780351648.

It is not an unprimeable number, because it can be changed into a prime (234780351649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3795786 + ... + 3857142.

It is an arithmetic number, because the mean of its divisors is an integer number (6702870636).

Almost surely, 2234780351648 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 234780351648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321737790528).

234780351648 is an abundant number, since it is smaller than the sum of its proper divisors (408695229408).

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

234780351648 is a wasteful number, since it uses less digits than its factorization.

234780351648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63126 (or 63118 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 51.

The spelling of 234780351648 in words is "two hundred thirty-four billion, seven hundred eighty million, three hundred fifty-one thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 1104 1733 2208 3466 5199 6932 10398 13864 20796 27728 39859 41592 55456 61357 79718 83184 119577 122714 159436 166368 184071 239154 245428 318872 368142 478308 490856 637744 736284 956616 981712 1275488 1411211 1472568 1913232 1963424 2822422 2945136 3826464 4233633 5644844 5890272 8467266 11289688 16934532 22579376 33869064 45158752 67738128 106331681 135476256 212663362 318995043 425326724 637990086 850653448 1275980172 1701306896 2445628663 2551960344 3402613792 4891257326 5103920688 7336885989 9782514652 10207841376 14673771978 19565029304 29347543956 39130058608 58695087912 78260117216 117390175824 234780351648