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3459961323 = 3271323832213
BaseRepresentation
bin1100111000111010…
…1101000111101011
322221010112020122200
43032032231013223
524041222230243
61331154551243
7151512120540
oct31616550753
98833466580
103459961323
111516070175
12806898523
13431a8b2c0
1424b738bc7
15153b4dad3
hexce3ad1eb

3459961323 has 96 divisors (see below), whose sum is σ = 6498745344. Its totient is φ = 1723873536.

The previous prime is 3459961321. The next prime is 3459961327. The reversal of 3459961323 is 3231699543.

3459961323 is a `hidden beast` number, since 3 + 4 + 5 + 9 + 9 + 613 + 23 = 666.

It is not a de Polignac number, because 3459961323 - 21 = 3459961321 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3459961321) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1562365 + ... + 1564577.

It is an arithmetic number, because the mean of its divisors is an integer number (67695264).

Almost surely, 23459961323 is an apocalyptic number.

3459961323 is a deficient number, since it is larger than the sum of its proper divisors (3038784021).

3459961323 is a wasteful number, since it uses less digits than its factorization.

3459961323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2345 (or 2342 counting only the distinct ones).

The product of its digits is 524880, while the sum is 45.

The square root of 3459961323 is about 58821.4359141291. The cubic root of 3459961323 is about 1512.4826960477.

The spelling of 3459961323 in words is "three billion, four hundred fifty-nine million, nine hundred sixty-one thousand, three hundred twenty-three".

Divisors: 1 3 7 9 13 21 23 39 63 69 83 91 117 161 207 249 273 299 483 581 747 819 897 1079 1449 1743 1909 2093 2213 2691 3237 5229 5727 6279 6639 7553 9711 13363 15491 17181 18837 19917 22659 24817 28769 40089 46473 50899 67977 74451 86307 120267 139419 152697 173719 183679 201383 223353 258921 356293 458091 521157 551037 604149 661687 1068879 1285753 1563471 1653111 1812447 1985061 2387827 3206637 3857259 4224617 4631809 5955183 7163481 11571777 12673851 13895427 16714789 21490443 29572319 38021553 41686281 50144367 54920021 88716957 150433101 164760063 266150871 384440147 494280189 1153320441 3459961323