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4330414420 = 2251742130253
BaseRepresentation
bin1000000100001110…
…01110000101010100
3102011210102211211021
410002013032011110
532332041230140
61553411450524
7212211625633
oct40207160524
912153384737
104330414420
1119224514a2
12a0a2b6a44
1354020acc7
142d11a351a
151a5290b4a
hex1021ce154

4330414420 has 48 divisors (see below), whose sum is σ = 9651994128. Its totient is φ = 1626347520.

The previous prime is 4330414409. The next prime is 4330414421. The reversal of 4330414420 is 244140334.

It can be written as a sum of positive squares in 8 ways, for example, as 248004 + 4330166416 = 498^2 + 65804^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4330414421) 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, 128014 + ... + 158266.

It is an arithmetic number, because the mean of its divisors is an integer number (201083211).

Almost surely, 24330414420 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 4330414420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4825997064).

4330414420 is an abundant number, since it is smaller than the sum of its proper divisors (5321579708).

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

4330414420 is a wasteful number, since it uses less digits than its factorization.

4330414420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30700 (or 30698 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 4330414420 is about 65805.8843873403. The cubic root of 4330414420 is about 1629.9582736129.

Adding to 4330414420 its reverse (244140334), we get a palindrome (4574554754).

The spelling of 4330414420 in words is "four billion, three hundred thirty million, four hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 421 842 1684 2105 4210 7157 8420 14314 28628 30253 35785 60506 71570 121012 143140 151265 302530 514301 605060 1028602 2057204 2571505 5143010 10286020 12736513 25473026 50946052 63682565 127365130 216520721 254730260 433041442 866082884 1082603605 2165207210 4330414420