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32341706244 = 22349721032
BaseRepresentation
bin11110000111101101…
…110100011000000100
310002110221121220110000
4132013231310120010
51012213434044434
622505123001300
72223312652521
oct360755643004
9102427556400
1032341706244
1112797060651
126327209230
1330855805b3
1417cb452148
15c944d7b99
hex787b74604

32341706244 has 135 divisors (see below), whose sum is σ = 86265671877. Its totient is φ = 10565842176.

The previous prime is 32341706233. The next prime is 32341706249. The reversal of 32341706244 is 44260714323.

The square root of 32341706244 is 179838.

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

32341706244 is a `hidden beast` number, since 3 + 2 + 341 + 70 + 6 + 244 = 666.

It can be written as a sum of positive squares in only one way, i.e., 14522660100 + 17819046144 = 120510^2 + 133488^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 32341706199 and 32341706208.

It is not an unprimeable number, because it can be changed into a prime (32341706249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 313997097 + ... + 313997199.

Almost surely, 232341706244 is an apocalyptic number.

32341706244 is the 179838-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32341706244

32341706244 is an abundant number, since it is smaller than the sum of its proper divisors (53923965633).

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

32341706244 is an equidigital number, since it uses as much as digits as its factorization.

32341706244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

Multiplying 32341706244 by its sum of digits (36), we get a square (1164301424784 = 10790282).

32341706244 divided by its sum of digits (36) gives a square (898380729 = 299732).

The spelling of 32341706244 in words is "thirty-two billion, three hundred forty-one million, seven hundred six thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 97 103 108 162 194 206 291 309 324 388 412 582 618 873 927 1164 1236 1746 1854 2619 2781 3492 3708 5238 5562 7857 8343 9409 9991 10476 10609 11124 15714 16686 18818 19982 21218 28227 29973 31428 31827 33372 37636 39964 42436 56454 59946 63654 84681 89919 95481 112908 119892 127308 169362 179838 190962 254043 269757 286443 338724 359676 381924 508086 539514 572886 762129 809271 859329 969127 1016172 1029073 1079028 1145772 1524258 1618542 1718658 1938254 2058146 2907381 3048516 3087219 3237084 3437316 3876508 4116292 5814762 6174438 8722143 9261657 11629524 12348876 17444286 18523314 26166429 27784971 34888572 37046628 52332858 55569942 78499287 83354913 99820081 104665716 111139884 156998574 166709826 199640162 299460243 313997148 333419652 399280324 598920486 898380729 1197840972 1796761458 2695142187 3593522916 5390284374 8085426561 10780568748 16170853122 32341706244