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34421233100 = 2252715478863
BaseRepresentation
bin100000000011101010…
…100101010111001100
310021211212121211000012
4200003222211113030
51030443313424400
623451330252352
72325663440162
oct400352452714
9107755554005
1034421233100
1113663985991
1268077270b8
133327350867
1419476cd232
15d66d58d35
hex803aa55cc

34421233100 has 72 divisors (see below), whose sum is σ = 75893142528. Its totient is φ = 13548225600.

The previous prime is 34421233043. The next prime is 34421233103. The reversal of 34421233100 is 133212443.

It is a super-2 number, since 2×344212331002 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34421233103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3879269 + ... + 3888131.

It is an arithmetic number, because the mean of its divisors is an integer number (1054071424).

Almost surely, 234421233100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34421233100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37946571264).

34421233100 is an abundant number, since it is smaller than the sum of its proper divisors (41471909428).

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

34421233100 is a wasteful number, since it uses less digits than its factorization.

34421233100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9495 (or 9488 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 34421233100 its reverse (133212443), we get a palindrome (34554445543).

The spelling of 34421233100 in words is "thirty-four billion, four hundred twenty-one million, two hundred thirty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 71 100 142 284 355 547 710 1094 1420 1775 2188 2735 3550 5470 7100 8863 10940 13675 17726 27350 35452 38837 44315 54700 77674 88630 155348 177260 194185 221575 388370 443150 629273 776740 886300 970925 1258546 1941850 2517092 3146365 3883700 4848061 6292730 9696122 12585460 15731825 19392244 24240305 31463650 48480610 62927300 96961220 121201525 242403050 344212331 484806100 688424662 1376849324 1721061655 3442123310 6884246620 8605308275 17210616550 34421233100