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3434030420401 = 71921358935663
BaseRepresentation
bin110001111110001100001…
…010011101000110110001
3110011021211111002010012201
4301332030022131012301
5422230343241423101
611145323301423201
7503046321646540
oct61761412350661
913137744063181
103434030420401
111104400713659
12475655a0ab01
131bba9b546179
14bc2ca8d6157
155e4d89e9e01
hex31f8c29d1b1

3434030420401 has 12 divisors (see below), whose sum is σ = 4142035903872. Its totient is φ = 2788535978424.

The previous prime is 3434030420383. The next prime is 3434030420423. The reversal of 3434030420401 is 1040240304343.

3434030420401 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 3434030420401 - 27 = 3434030420273 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 3434030420401.

It is not an unprimeable number, because it can be changed into a prime (3434030420461) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 679465305 + ... + 679470358.

It is an arithmetic number, because the mean of its divisors is an integer number (345169658656).

Almost surely, 23434030420401 is an apocalyptic number.

It is an amenable number.

3434030420401 is a deficient number, since it is larger than the sum of its proper divisors (708005483471).

3434030420401 is a wasteful number, since it uses less digits than its factorization.

3434030420401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1358935708 (or 1358935689 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 3434030420401 its reverse (1040240304343), we get a palindrome (4474270724744).

The spelling of 3434030420401 in words is "three trillion, four hundred thirty-four billion, thirty million, four hundred twenty thousand, four hundred one".

Divisors: 1 7 19 133 361 2527 1358935663 9512549641 25819777597 180738443179 490575774343 3434030420401