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34240889368 = 23719173186019
BaseRepresentation
bin11111111000111010…
…101000001000011000
310021101022021101220201
4133320322220020120
51030111131424433
623421405031544
72321343520540
oct377072501030
9107338241821
1034240889368
11135810a8a84
1267772555b4
1332c8b893aa
14192b786320
15d560d3a7d
hex7f8ea8218

34240889368 has 64 divisors (see below), whose sum is σ = 77681952000. Its totient is φ = 13821881472.

The previous prime is 34240889299. The next prime is 34240889369. The reversal of 34240889368 is 86398804243.

It is a hoax number, since the sum of its digits (55) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34240889369) 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 15 ways as a sum of consecutive naturals, for example, 91063 + ... + 277081.

It is an arithmetic number, because the mean of its divisors is an integer number (1213780500).

Almost surely, 234240889368 is an apocalyptic number.

34240889368 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34240889368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38840976000).

34240889368 is an abundant number, since it is smaller than the sum of its proper divisors (43441062632).

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

34240889368 is a wasteful number, since it uses less digits than its factorization.

34240889368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186224 (or 186220 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 55.

The spelling of 34240889368 in words is "thirty-four billion, two hundred forty million, eight hundred eighty-nine thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 152 173 266 346 532 692 1064 1211 1384 2422 3287 4844 6574 9688 13148 23009 26296 46018 92036 184072 186019 372038 744076 1302133 1488152 2604266 3534361 5208532 7068722 10417064 14137444 24740527 28274888 32181287 49481054 64362574 98962108 128725148 197924216 225269009 257450296 450538018 611444453 901076036 1222888906 1802152072 2445777812 4280111171 4891555624 8560222342 17120444684 34240889368