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3490220943 = 32111011133089
BaseRepresentation
bin1101000000001000…
…1000101110001111
3100000020110121001100
43100002020232033
524121444032233
61334155314143
7152330250156
oct32002105617
910006417040
103490220943
111531158720
12814a4b953
134381244c1
1425177459d
15156629813
hexd0088b8f

3490220943 has 48 divisors (see below), whose sum is σ = 5605161120. Its totient is φ = 2075136000.

The previous prime is 3490220897. The next prime is 3490220959.

3490220943 is a `hidden beast` number, since 349 + 0 + 220 + 94 + 3 = 666.

3490220943 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3490220943 - 26 = 3490220879 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3490220898 and 3490220907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3490220443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1128343 + ... + 1131431.

It is an arithmetic number, because the mean of its divisors is an integer number (116774190).

Almost surely, 23490220943 is an apocalyptic number.

3490220943 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

3490220943 is a deficient number, since it is larger than the sum of its proper divisors (2114940177).

3490220943 is a wasteful number, since it uses less digits than its factorization.

3490220943 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3320 (or 3317 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 3490220943 is about 59078.0919038521. The cubic root of 3490220943 is about 1516.8791204267.

The spelling of 3490220943 in words is "three billion, four hundred ninety million, two hundred twenty thousand, nine hundred forty-three".

Divisors: 1 3 9 11 33 99 101 113 303 339 909 1017 1111 1243 3089 3333 3729 9267 9999 11187 11413 27801 33979 34239 101937 102717 125543 305811 311989 349057 376629 935967 1047171 1129887 2807901 3141513 3431879 3839627 10295637 11518881 30886911 34556643 35254757 105764271 317292813 387802327 1163406981 3490220943