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3434423320 = 235537012311
BaseRepresentation
bin1100110010110101…
…0010010000011000
322212100110210002201
43030231102100120
524013203021240
61324443335544
7151052054656
oct31455222030
98770423081
103434423320
111502708089
127ba2215b4
134296b9263
142481abdd6
151517a6d9a
hexccb52418

3434423320 has 64 divisors (see below), whose sum is σ = 7887896640. Its totient is φ = 1345344000.

The previous prime is 3434423243. The next prime is 3434423323. The reversal of 3434423320 is 233244343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3434423323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1484965 + ... + 1487275.

It is an arithmetic number, because the mean of its divisors is an integer number (123248385).

Almost surely, 23434423320 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 3434423320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3943948320).

3434423320 is an abundant number, since it is smaller than the sum of its proper divisors (4453473320).

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

3434423320 is a wasteful number, since it uses less digits than its factorization.

3434423320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3076 (or 3072 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 28.

The square root of 3434423320 is about 58603.9531089840. The cubic root of 3434423320 is about 1508.7522871359.

Adding to 3434423320 its reverse (233244343), we get a palindrome (3667667663).

The spelling of 3434423320 in words is "three billion, four hundred thirty-four million, four hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 265 424 530 701 1060 1402 2120 2311 2804 3505 4622 5608 7010 9244 11555 14020 18488 23110 28040 37153 46220 74306 92440 122483 148612 185765 244966 297224 371530 489932 612415 743060 979864 1224830 1486120 1620011 2449660 3240022 4899320 6480044 8100055 12960088 16200110 32400220 64800440 85860583 171721166 343442332 429302915 686884664 858605830 1717211660 3434423320