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34241333010 = 23543208312743
BaseRepresentation
bin11111111000111100…
…010100011100010010
310021101100002221110220
4133320330110130102
51030111240124020
623421422333510
72321350346133
oct377074243422
9107340087426
1034241333010
1113581381325
12677742a296
1332c8cb32c1
14192b85dc8a
15d56170240
hex7f8f14712

34241333010 has 64 divisors (see below), whose sum is σ = 84137315328. Its totient is φ = 8913691584.

The previous prime is 34241332991. The next prime is 34241333029. The reversal of 34241333010 is 1033314243.

It is an interprime number because it is at equal distance from previous prime (34241332991) and next prime (34241333029).

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, 2680699 + ... + 2693441.

It is an arithmetic number, because the mean of its divisors is an integer number (1314645552).

Almost surely, 234241333010 is an apocalyptic number.

34241333010 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 34241333010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42068657664).

34241333010 is an abundant number, since it is smaller than the sum of its proper divisors (49895982318).

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

34241333010 is a wasteful number, since it uses less digits than its factorization.

34241333010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14879.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 34241333010 its reverse (1033314243), we get a palindrome (35274647253).

The spelling of 34241333010 in words is "thirty-four billion, two hundred forty-one million, three hundred thirty-three thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 43 86 129 215 258 430 645 1290 2083 4166 6249 10415 12498 12743 20830 25486 31245 38229 62490 63715 76458 89569 127430 179138 191145 268707 382290 447845 537414 547949 895690 1095898 1343535 1643847 2687070 2739745 3287694 5479490 8219235 16438470 26543669 53087338 79631007 132718345 159262014 265436690 398155035 796310070 1141377767 2282755534 3424133301 5706888835 6848266602 11413777670 17120666505 34241333010