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3430004232 = 2332949110037
BaseRepresentation
bin1100110001110001…
…1011011000001000
322212001011021020210
43030130123120020
524011040113412
61324204521120
7150666361224
oct31434333010
98761137223
103430004232
111500169a46
127b88501a0
134287cca05
1424777b784
151511d283c
hexcc71b608

3430004232 has 64 divisors (see below), whose sum is σ = 8889652800. Its totient is φ = 1101551360.

The previous prime is 3430004209. The next prime is 3430004243. The reversal of 3430004232 is 2324000343.

It is a junction number, because it is equal to n+sod(n) for n = 3430004199 and 3430004208.

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, 336718 + ... + 346754.

It is an arithmetic number, because the mean of its divisors is an integer number (138900825).

Almost surely, 23430004232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3430004232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4444826400).

3430004232 is an abundant number, since it is smaller than the sum of its proper divisors (5459648568).

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

3430004232 is a wasteful number, since it uses less digits than its factorization.

3430004232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10566 (or 10562 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

The square root of 3430004232 is about 58566.2379874275. The cubic root of 3430004232 is about 1508.1049032648.

Adding to 3430004232 its reverse (2324000343), we get a palindrome (5754004575).

The spelling of 3430004232 in words is "three billion, four hundred thirty million, four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 232 348 491 696 982 1473 1964 2946 3928 5892 10037 11784 14239 20074 28478 30111 40148 42717 56956 60222 80296 85434 113912 120444 170868 240888 291073 341736 582146 873219 1164292 1746438 2328584 3492876 4928167 6985752 9856334 14784501 19712668 29569002 39425336 59138004 118276008 142916843 285833686 428750529 571667372 857501058 1143334744 1715002116 3430004232