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348364800009 = 3267718136893
BaseRepresentation
bin1010001000111000010…
…10010000000000001001
31020022012010211102200100
411010130022100000021
521201422342100014
6424011522400013
734111542641232
oct5043412200011
91208163742610
10348364800009
111248169363a6
1257622800009
1326b09b8ca75
1412c0a618089
1590dd700009
hex511c290009

348364800009 has 24 divisors (see below), whose sum is σ = 517897029312. Its totient is φ = 225554646240.

The previous prime is 348364799971. The next prime is 348364800041. The reversal of 348364800009 is 900008463843.

It is not a de Polignac number, because 348364800009 - 211 = 348364797961 is a prime.

It is not an unprimeable number, because it can be changed into a prime (348364800109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4025634 + ... + 4111259.

It is an arithmetic number, because the mean of its divisors is an integer number (21579042888).

Almost surely, 2348364800009 is an apocalyptic number.

It is an amenable number.

348364800009 is a deficient number, since it is larger than the sum of its proper divisors (169532229303).

348364800009 is a wasteful number, since it uses less digits than its factorization.

348364800009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8137037 (or 8137034 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 348364800009 in words is "three hundred forty-eight billion, three hundred sixty-four million, eight hundred thousand, nine".

Divisors: 1 3 9 67 71 201 213 603 639 4757 14271 42813 8136893 24410679 73232037 545171831 577719403 1635515493 1733158209 4906546479 5199474627 38707200001 116121600003 348364800009