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3400034211 = 347192910883
BaseRepresentation
bin1100101010101000…
…0110011110100011
322202221202122010000
43022222012132203
523430402043321
61321214311043
7150153546120
oct31252063643
98687678100
103400034211
11149525a032
127aa7b8483
13422538582
142437b9747
1514d762826
hexcaa867a3

3400034211 has 80 divisors (see below), whose sum is σ = 6321427200. Its totient is φ = 1776987072.

The previous prime is 3400034207. The next prime is 3400034251. The reversal of 3400034211 is 1124300043.

3400034211 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3400034211 - 22 = 3400034207 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3400034251) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 306976 + ... + 317858.

It is an arithmetic number, because the mean of its divisors is an integer number (79017840).

Almost surely, 23400034211 is an apocalyptic number.

3400034211 is a deficient number, since it is larger than the sum of its proper divisors (2921392989).

3400034211 is a wasteful number, since it uses less digits than its factorization.

3400034211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10950 (or 10941 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3400034211 is about 58309.8123046199. The cubic root of 3400034211 is about 1503.6996396092.

Adding to 3400034211 its reverse (1124300043), we get a palindrome (4524334254).

The spelling of 3400034211 in words is "three billion, four hundred million, thirty-four thousand, two hundred eleven".

Divisors: 1 3 7 9 19 21 27 29 57 63 81 87 133 171 189 203 261 399 513 551 567 609 783 1197 1539 1653 1827 2349 3591 3857 4959 5481 10773 10883 11571 14877 16443 32649 34713 44631 76181 97947 104139 206777 228543 293841 312417 315607 620331 685629 881523 946821 1447439 1860993 2056887 2209249 2840463 4342317 5582979 5996533 6170661 6627747 8521389 13026951 16748937 17989599 19883241 25564167 39080853 41975731 53968797 59649723 117242559 125927193 161906391 178949169 377781579 485719173 1133344737 3400034211