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34303440431 = 132719736997
BaseRepresentation
bin11111111100101001…
…001111011000101111
310021112122222022211202
4133330221033120233
51030223140043211
623431521440115
72323033301261
oct377451173057
9107478868752
1034303440431
1113603441577
1267941a003b
133308b1a560
141935bc9b31
15d5b83c53b
hex7fca4f62f

34303440431 has 8 divisors (see below), whose sum is σ = 37078488384. Its totient is φ = 31547867040.

The previous prime is 34303440373. The next prime is 34303440469. The reversal of 34303440431 is 13404430343.

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 34303440431 - 210 = 34303439407 is a prime.

It is a super-2 number, since 2×343034404312 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34303440394 and 34303440403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34303440331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4864976 + ... + 4872021.

It is an arithmetic number, because the mean of its divisors is an integer number (4634811048).

Almost surely, 234303440431 is an apocalyptic number.

34303440431 is a deficient number, since it is larger than the sum of its proper divisors (2775047953).

34303440431 is a wasteful number, since it uses less digits than its factorization.

34303440431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9737281.

The product of its (nonzero) digits is 20736, while the sum is 29.

Adding to 34303440431 its reverse (13404430343), we get a palindrome (47707870774).

The spelling of 34303440431 in words is "thirty-four billion, three hundred three million, four hundred forty thousand, four hundred thirty-one".

Divisors: 1 13 271 3523 9736997 126580961 2638726187 34303440431