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3400200311 = 172311073547
BaseRepresentation
bin1100101010101010…
…1111000001110111
322202222002001221212
43022222233001313
523430422402221
61321222032035
7150155140304
oct31252570167
98688061855
103400200311
111495362902
127aa87861b
13422596061
142438200ab
1514d796b5b
hexcaaaf077

3400200311 has 24 divisors (see below), whose sum is σ = 3764399616. Its totient is φ = 3067148160.

The previous prime is 3400200281. The next prime is 3400200313. The reversal of 3400200311 is 1130020043.

It is not a de Polignac number, because 3400200311 - 210 = 3400199287 is a prime.

It is a super-2 number, since 2×34002003112 = 23122724309848993442, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3400200313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 956840 + ... + 960386.

It is an arithmetic number, because the mean of its divisors is an integer number (156849984).

Almost surely, 23400200311 is an apocalyptic number.

3400200311 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

3400200311 is a deficient number, since it is larger than the sum of its proper divisors (364199305).

3400200311 is a wasteful number, since it uses less digits than its factorization.

3400200311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3719 (or 3702 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 3400200311 is about 58311.2365758093. The cubic root of 3400200311 is about 1503.7241256808.

Adding to 3400200311 its reverse (1130020043), we get a palindrome (4530220354).

The spelling of 3400200311 in words is "three billion, four hundred million, two hundred thousand, three hundred eleven".

Divisors: 1 17 31 107 289 527 1819 3317 3547 8959 30923 56389 60299 109957 379529 958613 1025083 1869269 6451993 11765399 31777573 109683881 200011783 3400200311