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34010010 = 2335125963
BaseRepresentation
bin1000000110111…
…1001110011010
32100222212222000
42001233032122
532201310020
63212541430
7562036356
oct201571632
970885860
1034010010
111821a251
12b481876
13707a288
144734466
152ebc090
hex206f39a

34010010 has 32 divisors (see below), whose sum is σ = 90694080. Its totient is φ = 9069264.

The previous prime is 34009991. The next prime is 34010023. The reversal of 34010010 is 1001043.

34010010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 34009974 and 34010001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62712 + ... + 63251.

It is an arithmetic number, because the mean of its divisors is an integer number (2834190).

Almost surely, 234010010 is an apocalyptic number.

34010010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34010010 is an abundant number, since it is smaller than the sum of its proper divisors (56684070).

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

34010010 is a wasteful number, since it uses less digits than its factorization.

34010010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125979 (or 125973 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 34010010 is about 5831.8101820961. The cubic root of 34010010 is about 323.9929696691.

Adding to 34010010 its reverse (1001043), we get a palindrome (35011053).

The spelling of 34010010 in words is "thirty-four million, ten thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 125963 251926 377889 629815 755778 1133667 1259630 1889445 2267334 3401001 3778890 5668335 6802002 11336670 17005005 34010010