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234460064432 = 2411172918114929
BaseRepresentation
bin1101101001011011101…
…0001010101010110000
3211102011220222100002002
43122112322022222300
512320133234030212
6255413124513132
722640065444106
oct3322672125260
9742156870062
10234460064432
11904856596a0
123953424b7a8
1319156717649
14b4c29dbc76
1561738edac2
hex3696e8aab0

234460064432 has 160 divisors (see below), whose sum is σ = 545843188800. Its totient is φ = 96303513600.

The previous prime is 234460064413. The next prime is 234460064479.

234460064432 is nontrivially palindromic in base 10.

234460064432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15697544 + ... + 15712472.

It is an arithmetic number, because the mean of its divisors is an integer number (3411519930).

Almost surely, 2234460064432 is an apocalyptic number.

234460064432 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 234460064432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272921594400).

234460064432 is an abundant number, since it is smaller than the sum of its proper divisors (311383124368).

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

234460064432 is a wasteful number, since it uses less digits than its factorization.

234460064432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15175 (or 15169 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 38.

The spelling of 234460064432 in words is "two hundred thirty-four billion, four hundred sixty million, sixty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 17 22 29 34 44 58 68 88 116 136 176 181 187 232 272 319 362 374 464 493 638 724 748 986 1276 1448 1496 1972 1991 2552 2896 2992 3077 3944 3982 5104 5249 5423 6154 7888 7964 10498 10846 12308 14929 15928 20996 21692 24616 29858 31856 33847 41992 43384 49232 57739 59716 67694 83984 86768 89233 115478 119432 135388 164219 178466 230956 238864 253793 270776 328438 356932 432941 461912 507586 541552 656876 713864 865882 923824 981563 1015172 1313752 1427728 1731764 1963126 2030344 2627504 2702149 2791723 3463528 3926252 4060688 4762351 5404298 5583446 6927056 7359997 7852504 9524702 10808596 11166892 14719994 15705008 19049404 21617192 22333784 29439988 29723639 38098808 43234384 44667568 45936533 58879976 59447278 76197616 78362321 80959967 91873066 117759952 118894556 156724642 161919934 183746132 237789112 313449284 323839868 367492264 475578224 505301863 626898568 647679736 734984528 861985531 1010603726 1253797136 1295359472 1332159457 1723971062 2021207452 2664318914 3447942124 4042414904 5328637828 6895884248 8084829808 10657275656 13791768496 14653754027 21314551312 29307508054 58615016108 117230032216 234460064432