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3400244341 = 132178571381
BaseRepresentation
bin1100101010101011…
…1001110001110101
322202222011022100121
43022222321301311
523430430304331
61321223011541
7150155412544
oct31252716165
98688138317
103400244341
11149539299a
127aa899bb1
134225b0100
1424383215b
1514d7a4c11
hexcaab9c75

3400244341 has 24 divisors (see below), whose sum is σ = 3905880264. Its totient is φ = 2948474880.

The previous prime is 3400244327. The next prime is 3400244369. The reversal of 3400244341 is 1434420043.

It can be written as a sum of positive squares in 12 ways, for example, as 522351025 + 2877893316 = 22855^2 + 53646^2 .

It is not a de Polignac number, because 3400244341 - 27 = 3400244213 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3400244311) 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, 2461471 + ... + 2462851.

It is an arithmetic number, because the mean of its divisors is an integer number (162745011).

Almost surely, 23400244341 is an apocalyptic number.

It is an amenable number.

3400244341 is a deficient number, since it is larger than the sum of its proper divisors (505635923).

3400244341 is a wasteful number, since it uses less digits than its factorization.

3400244341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2281 (or 2268 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 3400244341 is about 58311.6141176010. The cubic root of 3400244341 is about 1503.7306163462.

Adding to 3400244341 its reverse (1434420043), we get a palindrome (4834664384).

The spelling of 3400244341 in words is "three billion, four hundred million, two hundred forty-four thousand, three hundred forty-one".

Divisors: 1 13 17 169 221 857 1381 2873 11141 14569 17953 23477 144833 189397 233389 305201 1183517 2462161 3967613 15385721 20119789 200014373 261557257 3400244341