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34200433241 = 1314917656393
BaseRepresentation
bin11111110110100000…
…010011001001011001
310021021111011000112122
4133312200103021121
51030020302330431
623413401551025
72320342612622
oct376640231131
9107244130478
1034200433241
1113560286767
1267657a5475
1332c0693060
141926254a49
15d52791a7b
hex7f6813259

34200433241 has 8 divisors (see below), whose sum is σ = 37078427400. Its totient is φ = 31357752192.

The previous prime is 34200433231. The next prime is 34200433261. The reversal of 34200433241 is 14233400243.

It can be written as a sum of positive squares in 4 ways, for example, as 1474176025 + 32726257216 = 38395^2 + 180904^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 34200433241 - 214 = 34200416857 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 34200433241.

It is not an unprimeable number, because it can be changed into a prime (34200433231) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8826260 + ... + 8830133.

It is an arithmetic number, because the mean of its divisors is an integer number (4634803425).

Almost surely, 234200433241 is an apocalyptic number.

It is an amenable number.

34200433241 is a deficient number, since it is larger than the sum of its proper divisors (2877994159).

34200433241 is a wasteful number, since it uses less digits than its factorization.

34200433241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17656555.

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 34200433241 its reverse (14233400243), we get a palindrome (48433833484).

The spelling of 34200433241 in words is "thirty-four billion, two hundred million, four hundred thirty-three thousand, two hundred forty-one".

Divisors: 1 13 149 1937 17656393 229533109 2630802557 34200433241