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3434434010010 = 233512720125963
BaseRepresentation
bin110001111110100100001…
…110000001101110011010
3110011022212121111121002000
4301332210032001232122
5422232210101310020
611145431320021430
7503062322261613
oct61764416015632
913138777447060
103434434010010
111104598510493
12475749001876
131bbb340435a3
14bc328352c0a
155e50e16c090
hex31fa4381b9a

3434434010010 has 32 divisors (see below), whose sum is σ = 9158490694080. Its totient is φ = 915849069264.

The previous prime is 3434434009997. The next prime is 3434434010053. The reversal of 3434434010010 is 100104344343.

3434434010010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×34344340100102 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6360062712 + ... + 6360063251.

It is an arithmetic number, because the mean of its divisors is an integer number (286202834190).

Almost surely, 23434434010010 is an apocalyptic number.

3434434010010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3434434010010 is an abundant number, since it is smaller than the sum of its proper divisors (5724056684070).

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

3434434010010 is a wasteful number, since it uses less digits than its factorization.

3434434010010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12720125979 (or 12720125973 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 3434434010010 its reverse (100104344343), we get a palindrome (3534538354353).

The spelling of 3434434010010 in words is "three trillion, four hundred thirty-four billion, four hundred thirty-four million, ten thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 12720125963 25440251926 38160377889 63600629815 76320755778 114481133667 127201259630 190801889445 228962267334 343443401001 381603778890 572405668335 686886802002 1144811336670 1717217005005 3434434010010