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3420466192 = 2411134793121
BaseRepresentation
bin1100101111100000…
…0010110000010000
322211101012200112001
43023320002300100
524001114404232
61323224243344
7150522324433
oct31370026020
98741180461
103420466192
1114a5844970
127b5610554
134268404c0
142463b781a
1515044b6e7
hexcbe02c10

3420466192 has 80 divisors (see below), whose sum is σ = 7804500480. Its totient is φ = 1431705600.

The previous prime is 3420466187. The next prime is 3420466193. The reversal of 3420466192 is 2916640243.

It is a happy number.

It is a super-2 number, since 2×34204661922 = 23399177941229961728, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3420466193) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1094392 + ... + 1097512.

It is an arithmetic number, because the mean of its divisors is an integer number (97556256).

Almost surely, 23420466192 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 3420466192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3902250240).

3420466192 is an abundant number, since it is smaller than the sum of its proper divisors (4384034288).

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

3420466192 is a wasteful number, since it uses less digits than its factorization.

3420466192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3632 (or 3626 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

The square root of 3420466192 is about 58484.7517905308. The cubic root of 3420466192 is about 1506.7057097809.

The spelling of 3420466192 in words is "three billion, four hundred twenty million, four hundred sixty-six thousand, one hundred ninety-two".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 143 176 208 286 479 572 958 1144 1916 2288 3121 3832 5269 6227 6242 7664 10538 12454 12484 21076 24908 24968 34331 40573 42152 49816 49936 68497 68662 81146 84304 99632 136994 137324 162292 273988 274648 324584 446303 547976 549296 649168 892606 1095952 1494959 1785212 2989918 3570424 5979836 7140848 11959672 16444549 19434467 23919344 32889098 38868934 65778196 77737868 131556392 155475736 213779137 263112784 310951472 427558274 855116548 1710233096 3420466192