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34341046541 = 374129377261
BaseRepresentation
bin11111111110111000…
…101100100100001101
310021122021201220201122
4133332320230210031
51030312301442131
623435343450325
72324001036134
oct377670544415
9107567656648
1034341046541
11136226975aa
1267a48b69a5
1333138565a9
14193abb891b
15d5ecb9d7b
hex7fee2c90d

34341046541 has 16 divisors (see below), whose sum is σ = 36253184688. Its totient is φ = 32486284800.

The previous prime is 34341046451. The next prime is 34341046547. The reversal of 34341046541 is 14564014343.

It can be written as a sum of positive squares in 8 ways, for example, as 4244001316 + 30097045225 = 65146^2 + 173485^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34341046541 is a prime.

It is a super-2 number, since 2×343410465412 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34341046547) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 405851 + ... + 483111.

It is an arithmetic number, because the mean of its divisors is an integer number (2265824043).

Almost surely, 234341046541 is an apocalyptic number.

It is an amenable number.

34341046541 is a deficient number, since it is larger than the sum of its proper divisors (1912138147).

34341046541 is a wasteful number, since it uses less digits than its factorization.

34341046541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77632.

The product of its (nonzero) digits is 69120, while the sum is 35.

The spelling of 34341046541 in words is "thirty-four billion, three hundred forty-one million, forty-six thousand, five hundred forty-one".

Divisors: 1 37 41 293 1517 10841 12013 77261 444481 2858657 3167701 22637473 117204937 837586501 928136393 34341046541