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3430982052 = 2232313304489
BaseRepresentation
bin1100110010000000…
…1010000110100100
322212002222221120100
43030200022012210
524011312411202
61324241504100
7151010603061
oct31440120644
98762887510
103430982052
111500777663
127b9042030
13428a82ac4
14247953c68
1515132741c
hexcc80a1a4

3430982052 has 36 divisors (see below), whose sum is σ = 8700497260. Its totient is φ = 1140003072.

The previous prime is 3430982011. The next prime is 3430982069. The reversal of 3430982052 is 2502890343.

It can be written as a sum of positive squares in 2 ways, for example, as 106998336 + 3323983716 = 10344^2 + 57654^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×34309820522 = 23543275682292261408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3430981998 and 3430982016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 140977 + ... + 163512.

Almost surely, 23430982052 is an apocalyptic number.

It is an amenable number.

3430982052 is an abundant number, since it is smaller than the sum of its proper divisors (5269515208).

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

3430982052 is a wasteful number, since it uses less digits than its factorization.

3430982052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304812 (or 304807 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 3430982052 is about 58574.5853762534. The cubic root of 3430982052 is about 1508.2481990090.

The spelling of 3430982052 in words is "three billion, four hundred thirty million, nine hundred eighty-two thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 313 626 939 1252 1878 2817 3756 5634 11268 304489 608978 913467 1217956 1826934 2740401 3653868 5480802 10961604 95305057 190610114 285915171 381220228 571830342 857745513 1143660684 1715491026 3430982052