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3419242300 = 2252175473677
BaseRepresentation
bin1100101111001101…
…0111111100111100
322211021220111122201
43023303113330330
524000311223200
61323142121244
7150506036305
oct31363277474
98737814581
103419242300
1114a5089391
127b5120224
134265023c6
142461797ac
151502a8c6a
hexcbcd7f3c

3419242300 has 72 divisors (see below), whose sum is σ = 7872714864. Its totient is φ = 1284541440.

The previous prime is 3419242271. The next prime is 3419242313. The reversal of 3419242300 is 32429143.

It is a super-2 number, since 2×34192423002 = 23382435812218580000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 928062 + ... + 931738.

It is an arithmetic number, because the mean of its divisors is an integer number (109343262).

Almost surely, 23419242300 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 3419242300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3936357432).

3419242300 is an abundant number, since it is smaller than the sum of its proper divisors (4453472564).

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

3419242300 is a wasteful number, since it uses less digits than its factorization.

3419242300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4255 (or 4248 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 3419242300 is about 58474.2875116918. The cubic root of 3419242300 is about 1506.5259813514.

The spelling of 3419242300 in words is "three billion, four hundred nineteen million, two hundred forty-two thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 547 850 1094 1700 2188 2735 3677 5470 7354 9299 10940 13675 14708 18385 18598 27350 36770 37196 46495 54700 62509 73540 91925 92990 125018 183850 185980 232475 250036 312545 367700 464950 625090 929900 1250180 1562725 2011319 3125450 4022638 6250900 8045276 10056595 20113190 34192423 40226380 50282975 68384846 100565950 136769692 170962115 201131900 341924230 683848460 854810575 1709621150 3419242300