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3430245105 = 35571512671
BaseRepresentation
bin1100110001110101…
…0110001011110001
322212001121111200000
43030131112023301
524011120320410
61324214020213
7151001413410
oct31435261361
98761544600
103430245105
111500313a11
127b8947669
13428885541
14247801477
1515122ddc0
hexcc7562f1

3430245105 has 96 divisors (see below), whose sum is σ = 7096147968. Its totient is φ = 1557144000.

The previous prime is 3430245089. The next prime is 3430245113. The reversal of 3430245105 is 5015420343.

It is not a de Polignac number, because 3430245105 - 24 = 3430245089 is a prime.

It is a super-2 number, since 2×34302451052 = 23533162960752922050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1282920 + ... + 1285590.

It is an arithmetic number, because the mean of its divisors is an integer number (73918208).

Almost surely, 23430245105 is an apocalyptic number.

3430245105 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3430245105 is an abundant number, since it is smaller than the sum of its proper divisors (3665902863).

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

3430245105 is a wasteful number, since it uses less digits than its factorization.

3430245105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2849 (or 2837 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 3430245105 is about 58568.2943664915. The cubic root of 3430245105 is about 1508.1402048003.

Adding to 3430245105 its reverse (5015420343), we get a palindrome (8445665448).

The spelling of 3430245105 in words is "three billion, four hundred thirty million, two hundred forty-five thousand, one hundred five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 81 105 135 151 189 243 315 405 453 567 755 945 1057 1215 1359 1701 2265 2671 2835 3171 4077 5285 6795 8013 8505 9513 12231 13355 15855 18697 20385 24039 28539 36693 40065 47565 56091 61155 72117 85617 93485 120195 142695 168273 183465 216351 256851 280455 360585 403321 428085 504819 649053 841365 1081755 1209963 1284255 1514457 2016605 2524095 2823247 3245265 3629889 4543371 6049815 7572285 8469741 10889667 14116235 18149445 22716855 25409223 32669001 42348705 54448335 76227669 98007003 127046115 163345005 228683007 381138345 490035015 686049021 1143415035 3430245105