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34242421300 = 22521918022327
BaseRepresentation
bin11111111001000000…
…011110001000110100
310021101102011020022221
4133321000132020310
51030112024440200
623421501532124
72321362531033
oct377100361064
9107342136287
1034242421300
1113581a54a3a
126777874044
1332c92a4769
14192ba6471a
15d562d791a
hex7f901e234

34242421300 has 36 divisors (see below), whose sum is σ = 78216903520. Its totient is φ = 12976074720.

The previous prime is 34242421273. The next prime is 34242421307. The reversal of 34242421300 is 312424243.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34242421307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9009264 + ... + 9013063.

Almost surely, 234242421300 is an apocalyptic number.

It is an amenable number.

34242421300 is an abundant number, since it is smaller than the sum of its proper divisors (43974482220).

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

34242421300 is a wasteful number, since it uses less digits than its factorization.

34242421300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18022360 (or 18022353 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 34242421300 its reverse (312424243), we get a palindrome (34554845543).

The spelling of 34242421300 in words is "thirty-four billion, two hundred forty-two million, four hundred twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 380 475 950 1900 18022327 36044654 72089308 90111635 180223270 342424213 360446540 450558175 684848426 901116350 1369696852 1712121065 1802232700 3424242130 6848484260 8560605325 17121210650 34242421300