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4331434420 = 2251712739513
BaseRepresentation
bin1000000100010110…
…00111000110110100
3102011212100200000001
410002023013012310
532332321400140
61553445401044
7212223404455
oct40213070664
912155320001
104331434420
111922a88875
12a0a709184
135404a7361
142d138b12c
151a53e2e9a
hex1022c71b4

4331434420 has 24 divisors (see below), whose sum is σ = 9631072584. Its totient is φ = 1630657536.

The previous prime is 4331434391. The next prime is 4331434423. The reversal of 4331434420 is 244341334.

It can be written as a sum of positive squares in 4 ways, for example, as 724471056 + 3606963364 = 26916^2 + 60058^2 .

It is a super-2 number, since 2×43314344202 = 37522648269521472800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4331434423) 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 7 ways as a sum of consecutive naturals, for example, 6369417 + ... + 6370096.

It is an arithmetic number, because the mean of its divisors is an integer number (401294691).

Almost surely, 24331434420 is an apocalyptic number.

It is an amenable number.

4331434420 is an abundant number, since it is smaller than the sum of its proper divisors (5299638164).

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

4331434420 is a wasteful number, since it uses less digits than its factorization.

4331434420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12739539 (or 12739537 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

The square root of 4331434420 is about 65813.6339978275. The cubic root of 4331434420 is about 1630.0862388036.

Adding to 4331434420 its reverse (244341334), we get a palindrome (4575775754).

The spelling of 4331434420 in words is "four billion, three hundred thirty-one million, four hundred thirty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 12739513 25479026 50958052 63697565 127395130 216571721 254790260 433143442 866286884 1082858605 2165717210 4331434420