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4340021220 = 22325173313913
BaseRepresentation
bin1000000101010111…
…10111011111100100
3102012110111220212200
410002223313133210
532342021134340
61554353414500
7212356400043
oct40253673744
912173456780
104340021220
1119279131a7
12a1156a430
135421c28c2
142d258455a
151a603c330
hex102af77e4

4340021220 has 72 divisors (see below), whose sum is σ = 13173274296. Its totient is φ = 1156588032.

The previous prime is 4340021209. The next prime is 4340021221. The reversal of 4340021220 is 221200434.

4340021220 is a `hidden beast` number, since 43 + 400 + 2 + 1 + 220 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 559984896 + 3780036324 = 23664^2 + 61482^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4340021193 and 4340021202.

It is not an unprimeable number, because it can be changed into a prime (4340021221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 304984 + ... + 318896.

It is an arithmetic number, because the mean of its divisors is an integer number (182962143).

Almost surely, 24340021220 is an apocalyptic number.

It is an amenable number.

4340021220 is an abundant number, since it is smaller than the sum of its proper divisors (8833253076).

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

4340021220 is a wasteful number, since it uses less digits than its factorization.

4340021220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15661 (or 15656 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4340021220 is about 65878.8374214360. The cubic root of 4340021220 is about 1631.1627093820.

Adding to 4340021220 its reverse (221200434), we get a palindrome (4561221654).

It can be divided in two parts, 43400 and 21220, that added together give a triangular number (64620 = T359).

The spelling of 4340021220 in words is "four billion, three hundred forty million, twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1733 3466 5199 6932 8665 10398 13913 15597 17330 20796 25995 27826 31194 34660 41739 51990 55652 62388 69565 77985 83478 103980 125217 139130 155970 166956 208695 250434 278260 311940 417390 500868 626085 834780 1252170 2504340 24111229 48222458 72333687 96444916 120556145 144667374 217001061 241112290 289334748 361668435 434002122 482224580 723336870 868004244 1085005305 1446673740 2170010610 4340021220