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3414422820 = 2235109522083
BaseRepresentation
bin1100101110000011…
…1111010100100100
322210221211122120110
43023200333110210
523443043012240
61322450533020
7150420054324
oct31340772444
98727748513
103414422820
1114a2397446
127b3597170
13425505843
14245683284
1514eb55c80
hexcb83f524

3414422820 has 48 divisors (see below), whose sum is σ = 9648112320. Its totient is φ = 902157696.

The previous prime is 3414422819. The next prime is 3414422821. The reversal of 3414422820 is 282244143.

3414422820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3414422819) and next prime (3414422821).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (3414422821) 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, 254502 + ... + 267581.

It is an arithmetic number, because the mean of its divisors is an integer number (201002340).

Almost surely, 23414422820 is an apocalyptic number.

3414422820 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3414422820 is an abundant number, since it is smaller than the sum of its proper divisors (6233689500).

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

3414422820 is a wasteful number, since it uses less digits than its factorization.

3414422820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522204 (or 522202 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 3414422820 is about 58433.0627299306. The cubic root of 3414422820 is about 1505.8178238885.

Adding to 3414422820 its reverse (282244143), we get a palindrome (3696666963).

The spelling of 3414422820 in words is "three billion, four hundred fourteen million, four hundred twenty-two thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 109 218 327 436 545 654 1090 1308 1635 2180 3270 6540 522083 1044166 1566249 2088332 2610415 3132498 5220830 6264996 7831245 10441660 15662490 31324980 56907047 113814094 170721141 227628188 284535235 341442282 569070470 682884564 853605705 1138140940 1707211410 3414422820