Search a number
-
+
4234424120 = 235671739133
BaseRepresentation
bin1111110001100100…
…0010111100111000
3101221002211000212222
43330121002330320
532133003032440
61540102223212
7206635003553
oct37431027470
911832730788
104234424120
111883249573
129a2124b08
1352636c604
142c253769a
1519bb2e2b5
hexfc642f38

4234424120 has 64 divisors (see below), whose sum is σ = 9726613920. Its totient is φ = 1658663424.

The previous prime is 4234424119. The next prime is 4234424191. The reversal of 4234424120 is 214244324.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 4234424120.

It is a congruent number.

It is an unprimeable number.

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, 459074 + ... + 468206.

Almost surely, 24234424120 is an apocalyptic number.

4234424120 is a gapful number since it is divisible by the number (40) 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 4234424120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4863306960).

4234424120 is an abundant number, since it is smaller than the sum of its proper divisors (5492189800).

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

4234424120 is a wasteful number, since it uses less digits than its factorization.

4234424120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9384 (or 9380 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

The square root of 4234424120 is about 65072.4528506495. The cubic root of 4234424120 is about 1617.8246624396.

Adding to 4234424120 its reverse (214244324), we get a palindrome (4448668444).

The spelling of 4234424120 in words is "four billion, two hundred thirty-four million, four hundred twenty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 67 134 173 268 335 346 536 670 692 865 1340 1384 1730 2680 3460 6920 9133 11591 18266 23182 36532 45665 46364 57955 73064 91330 92728 115910 182660 231820 365320 463640 611911 1223822 1580009 2447644 3059555 3160018 4895288 6119110 6320036 7900045 12238220 12640072 15800090 24476440 31600180 63200360 105860603 211721206 423442412 529303015 846884824 1058606030 2117212060 4234424120