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3424113220 = 22511432831279
BaseRepresentation
bin1100110000010111…
…1101001001000100
322211122001222022011
43030011331021010
524003033110340
61323434344004
7150565324243
oct31405751104
98748058264
103424113220
1114a7905a40
127b688b004
134275194c8
14246a8695a
1515091c0ea
hexcc17d244

3424113220 has 96 divisors (see below), whose sum is σ = 8061419520. Its totient is φ = 1210930560.

The previous prime is 3424113197. The next prime is 3424113221. The reversal of 3424113220 is 223114243.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 3424113191 and 3424113200.

It is not an unprimeable number, because it can be changed into a prime (3424113221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2676541 + ... + 2677819.

It is an arithmetic number, because the mean of its divisors is an integer number (83973120).

Almost surely, 23424113220 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 3424113220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4030709760).

3424113220 is an abundant number, since it is smaller than the sum of its proper divisors (4637306300).

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

3424113220 is a wasteful number, since it uses less digits than its factorization.

3424113220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1625 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 3424113220 is about 58515.9227902970. The cubic root of 3424113220 is about 1507.2410214186.

Adding to 3424113220 its reverse (223114243), we get a palindrome (3647227463).

The spelling of 3424113220 in words is "three billion, four hundred twenty-four million, one hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 43 44 55 86 110 172 215 220 283 430 473 566 860 946 1132 1279 1415 1892 2365 2558 2830 3113 4730 5116 5660 6226 6395 9460 12169 12452 12790 14069 15565 24338 25580 28138 31130 48676 54997 56276 60845 62260 70345 109994 121690 133859 140690 219988 243380 267718 274985 281380 361957 535436 549970 604967 669295 723914 1099940 1209934 1338590 1447828 1809785 2419868 2677180 3024835 3619570 3981527 6049670 7239140 7963054 12099340 15564151 15926108 19907635 31128302 39815270 62256604 77820755 79630540 155641510 171205661 311283020 342411322 684822644 856028305 1712056610 3424113220