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3429118160 = 245132253633
BaseRepresentation
bin1100110001100100…
…0011000011010000
322211222111020210022
43030121003003100
524010323240120
61324133523012
7150656011016
oct31431030320
98758436708
103429118160
1114aa714256
127b84a3468
1342857c600
142475ca8b6
151510aa025
hexcc6430d0

3429118160 has 60 divisors (see below), whose sum is σ = 8633194092. Its totient is φ = 1266130944.

The previous prime is 3429118159. The next prime is 3429118163. The reversal of 3429118160 is 618119243.

It can be written as a sum of positive squares in 6 ways, for example, as 929518144 + 2499600016 = 30488^2 + 49996^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3429118160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3429118163) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 113297 + ... + 140336.

Almost surely, 23429118160 is an apocalyptic number.

It is an amenable number.

3429118160 is an abundant number, since it is smaller than the sum of its proper divisors (5204075932).

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

3429118160 is a wasteful number, since it uses less digits than its factorization.

3429118160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253672 (or 253653 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 35.

The square root of 3429118160 is about 58558.6727991678. The cubic root of 3429118160 is about 1507.9750293130.

The spelling of 3429118160 in words is "three billion, four hundred twenty-nine million, one hundred eighteen thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 169 208 260 338 520 676 845 1040 1352 1690 2704 3380 6760 13520 253633 507266 1014532 1268165 2029064 2536330 3297229 4058128 5072660 6594458 10145320 13188916 16486145 20290640 26377832 32972290 42863977 52755664 65944580 85727954 131889160 171455908 214319885 263778320 342911816 428639770 685823632 857279540 1714559080 3429118160