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34233044010 = 23511397261301
BaseRepresentation
bin11111111000011100…
…101100110000101010
310021100202111211002220
4133320130230300222
51030102124402020
623420524534510
72321220034014
oct377034546052
9107322454086
1034233044010
111357772a710
1267746b1436
1332c7370479
14192a7031b4
15d55584240
hex7f872cc2a

34233044010 has 64 divisors (see below), whose sum is σ = 89854441344. Its totient is φ = 8277984000.

The previous prime is 34233044003. The next prime is 34233044077. The reversal of 34233044010 is 1044033243.

It is a Curzon number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 360 + ... + 261660.

It is an arithmetic number, because the mean of its divisors is an integer number (1403975646).

Almost surely, 234233044010 is an apocalyptic number.

34233044010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34233044010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44927220672).

34233044010 is an abundant number, since it is smaller than the sum of its proper divisors (55621397334).

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

34233044010 is a wasteful number, since it uses less digits than its factorization.

34233044010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261719.

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 34233044010 its reverse (1044033243), we get a palindrome (35277077253).

The spelling of 34233044010 in words is "thirty-four billion, two hundred thirty-three million, forty-four thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 397 794 1191 1985 2382 3970 4367 5955 8734 11910 13101 21835 26202 43670 65505 131010 261301 522602 783903 1306505 1567806 2613010 2874311 3919515 5748622 7839030 8622933 14371555 17245866 28743110 43114665 86229330 103736497 207472994 311209491 518682485 622418982 1037364970 1141101467 1556047455 2282202934 3112094910 3423304401 5705507335 6846608802 11411014670 17116522005 34233044010