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3420774018 = 234532391667
BaseRepresentation
bin1100101111100100…
…1101111010000010
322211101210022210000
43023321031322002
524001204232033
61323235020430
7150525046044
oct31371157202
98741708700
103420774018
1114a5a35172
127b573a716
1342691a64c
14246457a94
151504aca13
hexcbe4de82

3420774018 has 80 divisors (see below), whose sum is σ = 7847072640. Its totient is φ = 1113394464.

The previous prime is 3420774011. The next prime is 3420774037. The reversal of 3420774018 is 8104770243.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (3420774011) 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 39 ways as a sum of consecutive naturals, for example, 2051221 + ... + 2052887.

It is an arithmetic number, because the mean of its divisors is an integer number (98088408).

Almost surely, 23420774018 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3420774018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3923536320).

3420774018 is an abundant number, since it is smaller than the sum of its proper divisors (4426298622).

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

3420774018 is a wasteful number, since it uses less digits than its factorization.

3420774018 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1973 (or 1964 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 3420774018 is about 58487.3834087318. The cubic root of 3420774018 is about 1506.7509072533.

The spelling of 3420774018 in words is "three billion, four hundred twenty million, seven hundred seventy-four thousand, eighteen".

Divisors: 1 2 3 6 9 18 27 53 54 81 106 159 162 239 318 477 478 717 954 1431 1434 1667 2151 2862 3334 4293 4302 5001 6453 8586 10002 12667 12906 15003 19359 25334 30006 38001 38718 45009 76002 88351 90018 114003 135027 176702 228006 265053 270054 342009 398413 530106 684018 795159 796826 1026027 1195239 1590318 2052054 2385477 2390478 3585717 4770954 7156431 7171434 10757151 14312862 21115889 21514302 32271453 42231778 63347667 64542906 126695334 190043001 380086002 570129003 1140258006 1710387009 3420774018