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3421423314 = 23431221977
BaseRepresentation
bin1100101111101110…
…1100011011010010
322211110000022110000
43023323230123102
524001341021224
61323300550430
7150533422041
oct31373543322
98743008400
103421423314
1114a6338a81
127b59b2416
13426ab704a
14246586558
1515058a0c9
hexcbeec6d2

3421423314 has 60 divisors (see below), whose sum is σ = 7922167902. Its totient is φ = 1103634720.

The previous prime is 3421423303. The next prime is 3421423339. The reversal of 3421423314 is 4133241243.

3421423314 is a `hidden beast` number, since 3 + 421 + 4 + 233 + 1 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2959904025 + 461519289 = 54405^2 + 21483^2 .

It is a super-2 number, since 2×34214233142 = 23412274987165485192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 144694 + ... + 166670.

Almost surely, 23421423314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3421423314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3961083951).

3421423314 is an abundant number, since it is smaller than the sum of its proper divisors (4500744588).

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

3421423314 is a wasteful number, since it uses less digits than its factorization.

3421423314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22053 (or 22013 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 3421423314 is about 58492.9338809398. The cubic root of 3421423314 is about 1506.8462331883.

Adding to 3421423314 its reverse (4133241243), we get a palindrome (7554664557).

The spelling of 3421423314 in words is "three billion, four hundred twenty-one million, four hundred twenty-three thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 27 31 54 62 81 93 162 186 279 558 837 961 1674 1922 2511 2883 5022 5766 8649 17298 21977 25947 43954 51894 65931 77841 131862 155682 197793 395586 593379 681287 1186758 1362574 1780137 2043861 3560274 4087722 6131583 12263166 18394749 21119897 36789498 42239794 55184247 63359691 110368494 126719382 190079073 380158146 570237219 1140474438 1710711657 3421423314