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34105216620 = 2235568420277
BaseRepresentation
bin11111110000110101…
…000100111001101100
310021000211222111220010
4133300311010321230
51024321413412440
623400121053220
72315105362266
oct376065047154
9107024874803
1034105216620
1113511562042
126739927210
1332a6a35867
14191774ab36
15d49234580
hex7f0d44e6c

34105216620 has 24 divisors (see below), whose sum is σ = 95494606704. Its totient is φ = 9094724416.

The previous prime is 34105216601. The next prime is 34105216627. The reversal of 34105216620 is 2661250143.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (34105216627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 284210079 + ... + 284210198.

It is an arithmetic number, because the mean of its divisors is an integer number (3978941946).

Almost surely, 234105216620 is an apocalyptic number.

34105216620 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34105216620 is an abundant number, since it is smaller than the sum of its proper divisors (61389390084).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34105216620 is a wasteful number, since it uses less digits than its factorization.

34105216620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568420289 (or 568420287 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 34105216620 its reverse (2661250143), we get a palindrome (36766466763).

The spelling of 34105216620 in words is "thirty-four billion, one hundred five million, two hundred sixteen thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 568420277 1136840554 1705260831 2273681108 2842101385 3410521662 5684202770 6821043324 8526304155 11368405540 17052608310 34105216620