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34311010300 = 225274142903
BaseRepresentation
bin11111111101000110…
…000111011111111100
310021120012012220202021
4133331012013133330
51030232104312200
623432352005524
72323154530000
oct377506073774
9107505186667
1034311010300
1113607741966
1267968308a4
13330a56ac78
141936bda700
15d5c33541a
hex7fd1877fc

34311010300 has 90 divisors (see below), whose sum is σ = 86859480568. Its totient is φ = 11763692640.

The previous prime is 34311010271. The next prime is 34311010303. The reversal of 34311010300 is 301011343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34311010303) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 168649 + ... + 311551.

Almost surely, 234311010300 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 34311010300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43429740284).

34311010300 is an abundant number, since it is smaller than the sum of its proper divisors (52548470268).

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

34311010300 is a wasteful number, since it uses less digits than its factorization.

34311010300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142945 (or 142917 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 34311010300 its reverse (301011343), we get a palindrome (34612021643).

The spelling of 34311010300 in words is "thirty-four billion, three hundred eleven million, ten thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 343 350 490 686 700 980 1225 1372 1715 2401 2450 3430 4802 4900 6860 8575 9604 12005 17150 24010 34300 48020 60025 120050 142903 240100 285806 571612 714515 1000321 1429030 2000642 2858060 3572575 4001284 5001605 7002247 7145150 10003210 14004494 14290300 20006420 25008025 28008988 35011235 49015729 50016050 70022470 98031458 100032100 140044940 175056175 196062916 245078645 343110103 350112350 490157290 686220206 700224700 980314580 1225393225 1372440412 1715550515 2450786450 3431101030 4901572900 6862202060 8577752575 17155505150 34311010300