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3425435118 = 2327413591847
BaseRepresentation
bin1100110000101011…
…1111110111101110
322211201120010121100
43030022333313232
524003402410433
61323522543530
7150612501210
oct31412776756
98751503540
103425435118
1114a8629116
127b7207ba6
134278900b1
14246d0c5b0
15150acdb13
hexcc2bfdee

3425435118 has 96 divisors (see below), whose sum is σ = 8717829120. Its totient is φ = 951649920.

The previous prime is 3425435081. The next prime is 3425435131. The reversal of 3425435118 is 8115345243.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1853671 + ... + 1855517.

It is an arithmetic number, because the mean of its divisors is an integer number (90810720).

Almost surely, 23425435118 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3425435118, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4358914560).

3425435118 is an abundant number, since it is smaller than the sum of its proper divisors (5292394002).

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

3425435118 is a wasteful number, since it uses less digits than its factorization.

3425435118 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2262 (or 2259 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 3425435118 is about 58527.2168994904. The cubic root of 3425435118 is about 1507.4349560643.

The spelling of 3425435118 in words is "three billion, four hundred twenty-five million, four hundred thirty-five thousand, one hundred eighteen".

Divisors: 1 2 3 6 7 9 14 18 21 41 42 63 82 123 126 246 287 359 369 574 718 738 861 1077 1722 1847 2154 2513 2583 3231 3694 5026 5166 5541 6462 7539 11082 12929 14719 15078 16623 22617 25858 29438 33246 38787 44157 45234 75727 77574 88314 103033 116361 132471 151454 206066 227181 232722 264942 309099 454362 530089 618198 663073 681543 927297 1060178 1326146 1363086 1590267 1854594 1989219 3180534 3978438 4641511 4770801 5967657 9283022 9541602 11935314 13924533 27185993 27849066 41773599 54371986 81557979 83547198 163115958 190301951 244673937 380603902 489347874 570905853 1141811706 1712717559 3425435118