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234736374016 = 2810722832
BaseRepresentation
bin1101101010011101100…
…0001101000100000000
3211102220011220022120101
43122213120031010000
512321220002432031
6255500355052144
722646662154314
oct3324730150400
9742804808511
10234736374016
1190607622121
12395b08a1054
131919ba3c341
14b50b5a5b44
15618cccd361
hex36a760d100

234736374016 has 81 divisors (see below), whose sum is σ = 474652958871. Its totient is φ = 115860435456.

The previous prime is 234736374011. The next prime is 234736374029. The reversal of 234736374016 is 610473637432.

The square root of 234736374016 is 484496.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (234736374011) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 829457011 + ... + 829457293.

Almost surely, 2234736374016 is an apocalyptic number.

234736374016 is the 484496-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234736374016

234736374016 is an abundant number, since it is smaller than the sum of its proper divisors (239916584855).

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

234736374016 is an frugal number, since it uses more digits than its factorization.

234736374016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 46.

The spelling of 234736374016 in words is "two hundred thirty-four billion, seven hundred thirty-six million, three hundred seventy-four thousand, sixteen".

Divisors: 1 2 4 8 16 32 64 107 128 214 256 283 428 566 856 1132 1712 2264 3424 4528 6848 9056 11449 13696 18112 22898 27392 30281 36224 45796 60562 72448 80089 91592 121124 160178 183184 242248 320356 366368 484496 640712 732736 968992 1281424 1465472 1937984 2562848 2930944 3240067 3875968 5125696 6480134 7751936 8569523 10251392 12960268 17139046 20502784 25920536 34278092 51841072 68556184 103682144 137112368 207364288 274224736 414728576 548449472 829457152 916938961 1096898944 1833877922 2193797888 3667755844 7335511688 14671023376 29342046752 58684093504 117368187008 234736374016