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3430142120 = 2351132333257
BaseRepresentation
bin1100110001110011…
…1101000010101000
322212001102021101202
43030130331002220
524011104021440
61324211503332
7151000504226
oct31434750250
98761367352
103430142120
1115002535a9
127b88b7b48
1342884a6c2
142477b5b16
1515120d615
hexcc73d0a8

3430142120 has 64 divisors (see below), whose sum is σ = 7821936720. Its totient is φ = 1353662464.

The previous prime is 3430142113. The next prime is 3430142161. The reversal of 3430142120 is 212410343.

It can be written as a sum of positive squares in 8 ways, for example, as 591170596 + 2838971524 = 24314^2 + 53282^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3430142092 and 3430142101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1051532 + ... + 1054788.

Almost surely, 23430142120 is an apocalyptic number.

It is an amenable number.

3430142120 is an abundant number, since it is smaller than the sum of its proper divisors (4391794600).

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

3430142120 is a wasteful number, since it uses less digits than its factorization.

3430142120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3614 (or 3610 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 3430142120 is about 58567.4151726026. The cubic root of 3430142120 is about 1508.1251118679.

Adding to 3430142120 its reverse (212410343), we get a palindrome (3642552463).

The spelling of 3430142120 in words is "three billion, four hundred thirty million, one hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 113 226 233 452 466 565 904 932 1130 1165 1864 2260 2330 3257 4520 4660 6514 9320 13028 16285 26056 26329 32570 52658 65140 105316 130280 131645 210632 263290 368041 526580 736082 758881 1053160 1472164 1517762 1840205 2944328 3035524 3680410 3794405 6071048 7360820 7588810 14721640 15177620 30355240 85753553 171507106 343014212 428767765 686028424 857535530 1715071060 3430142120