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3419351064 = 2333107197751
BaseRepresentation
bin1100101111001111…
…0010100000011000
322211022010000212000
43023303302200120
524000323213224
61323144321000
7150510001353
oct31363624030
98738100760
103419351064
1114a5153078
127b5173160
1342653ca6c
142461a729a
151502cb0c9
hexcbcf2818

3419351064 has 128 divisors (see below), whose sum is σ = 9648460800. Its totient is φ = 1121904000.

The previous prime is 3419351063. The next prime is 3419351071. The reversal of 3419351064 is 4601539143.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3419351063) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4552689 + ... + 4553439.

It is an arithmetic number, because the mean of its divisors is an integer number (75378600).

Almost surely, 23419351064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3419351064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4824230400).

3419351064 is an abundant number, since it is smaller than the sum of its proper divisors (6229109736).

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

3419351064 is a wasteful number, since it uses less digits than its factorization.

3419351064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 3419351064 is about 58475.2175199033. The cubic root of 3419351064 is about 1506.5419550711.

The spelling of 3419351064 in words is "three billion, four hundred nineteen million, three hundred fifty-one thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 107 108 197 214 216 321 394 428 591 642 751 788 856 963 1182 1284 1502 1576 1773 1926 2253 2364 2568 2889 3004 3546 3852 4506 4728 5319 5778 6008 6759 7092 7704 9012 10638 11556 13518 14184 18024 20277 21079 21276 23112 27036 40554 42158 42552 54072 63237 80357 81108 84316 126474 147947 160714 162216 168632 189711 241071 252948 295894 321428 379422 443841 482142 505896 569133 591788 642856 723213 758844 887682 964284 1138266 1183576 1331523 1446426 1517688 1775364 1928568 2169639 2276532 2663046 2892852 3550728 3994569 4339278 4553064 5326092 5785704 7989138 8678556 10652184 15830329 15978276 17357112 31660658 31956552 47490987 63321316 94981974 126642632 142472961 189963948 284945922 379927896 427418883 569891844 854837766 1139783688 1709675532 3419351064