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34003440500 = 2253592834073
BaseRepresentation
bin11111101010110000…
…110101001101110100
310020202202110202022012
4133222300311031310
51024114340044000
623342043423352
72312431322021
oct375260651564
9106682422265
1034003440500
111346a068147
12670b824b58
13328b91c7c3
141908016548
15d4032d735
hex7eac35374

34003440500 has 96 divisors (see below), whose sum is σ = 75807688320. Its totient is φ = 13320326400.

The previous prime is 34003440491. The next prime is 34003440503. The reversal of 34003440500 is 504430043.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34003440503) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8346464 + ... + 8350536.

It is an arithmetic number, because the mean of its divisors is an integer number (789663420).

Almost surely, 234003440500 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 34003440500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37903844160).

34003440500 is an abundant number, since it is smaller than the sum of its proper divisors (41804247820).

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

34003440500 is a wasteful number, since it uses less digits than its factorization.

34003440500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4434 (or 4422 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 23.

Adding to 34003440500 its reverse (504430043), we get a palindrome (34507870543).

The spelling of 34003440500 in words is "thirty-four billion, three million, four hundred forty thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 59 100 118 125 236 250 283 295 500 566 590 1132 1180 1415 1475 2830 2950 4073 5660 5900 7075 7375 8146 14150 14750 16292 16697 20365 28300 29500 33394 35375 40730 66788 70750 81460 83485 101825 141500 166970 203650 240307 333940 407300 417425 480614 509125 834850 961228 1018250 1152659 1201535 1669700 2036500 2087125 2305318 2403070 4174250 4610636 4806140 5763295 6007675 8348500 11526590 12015350 23053180 24030700 28816475 30038375 57632950 60076750 68006881 115265900 120153500 136013762 144082375 272027524 288164750 340034405 576329500 680068810 1360137620 1700172025 3400344050 6800688100 8500860125 17001720250 34003440500