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3424507659 = 3317293143193
BaseRepresentation
bin1100110000011101…
…1101011100001011
322211122211000101000
43030013131130023
524003133221114
61323451030043
7150601556226
oct31407353413
98748730330
103424507659
1114a8055321
127b6a3b323
13427626bc1
14246b4a5bd
15150998e09
hexcc1dd70b

3424507659 has 128 divisors (see below), whose sum is σ = 5900083200. Its totient is φ = 1950842880.

The previous prime is 3424507643. The next prime is 3424507661. The reversal of 3424507659 is 9567054243.

It is not a de Polignac number, because 3424507659 - 24 = 3424507643 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3424507679) 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 127 ways as a sum of consecutive naturals, for example, 17743467 + ... + 17743659.

It is an arithmetic number, because the mean of its divisors is an integer number (46094400).

Almost surely, 23424507659 is an apocalyptic number.

3424507659 is a deficient number, since it is larger than the sum of its proper divisors (2475575541).

3424507659 is a wasteful number, since it uses less digits than its factorization.

3424507659 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The square root of 3424507659 is about 58519.2930493867. The cubic root of 3424507659 is about 1507.2988944869.

The spelling of 3424507659 in words is "three billion, four hundred twenty-four million, five hundred seven thousand, six hundred fifty-nine".

Divisors: 1 3 9 17 27 29 31 43 51 87 93 129 153 193 261 279 387 459 493 527 579 731 783 837 899 1161 1247 1333 1479 1581 1737 2193 2697 3281 3741 3999 4437 4743 5211 5597 5983 6579 8091 8299 9843 11223 11997 13311 14229 15283 16791 17949 19737 21199 22661 24273 24897 29529 33669 35991 38657 45849 50373 53847 63597 67983 74691 88587 95149 101711 115971 137547 141083 151119 161541 173507 190791 203949 224073 240671 257269 285447 305133 347913 412641 423249 520521 572373 611847 657169 722013 771807 856341 915399 1043739 1269747 1561563 1971507 2166039 2315421 2569023 2746197 2949619 3809241 4091407 4373573 4684689 5914521 6498117 6946263 7460801 8848857 12274221 13120719 17743563 22382403 26546571 36822663 39362157 67147209 79639713 110467989 118086471 126833617 201441627 380500851 1141502553 3424507659