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34102400245 = 58153383653
BaseRepresentation
bin11111110000101010…
…010101010011110101
310021000122200102112221
4133300222111103311
51024320203301440
623355540442341
72315042422264
oct376052252365
9107018612487
1034102400245
111350aa09061
1267389a93b1
1332a628a974
1419172165db
15d48d79d4a
hex7f0a954f5

34102400245 has 8 divisors (see below), whose sum is σ = 40923871416. Its totient is φ = 27281259456.

The previous prime is 34102400243. The next prime is 34102400279. The reversal of 34102400245 is 54200420143.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1352621284 + 32749778961 = 36778^2 + 180969^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 34102400245 - 21 = 34102400243 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34102400243) 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, 365839 + ... + 449491.

It is an arithmetic number, because the mean of its divisors is an integer number (5115483927).

Almost surely, 234102400245 is an apocalyptic number.

It is an amenable number.

34102400245 is a deficient number, since it is larger than the sum of its proper divisors (6821471171).

34102400245 is an equidigital number, since it uses as much as digits as its factorization.

34102400245 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165191.

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 34102400245 its reverse (54200420143), we get a palindrome (88302820388).

The spelling of 34102400245 in words is "thirty-four billion, one hundred two million, four hundred thousand, two hundred forty-five".

Divisors: 1 5 81533 83653 407665 418265 6820480049 34102400245