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3415214020 = 225433739373
BaseRepresentation
bin1100101110010000…
…0000011111000100
322211000022211220011
43023210000133010
523443243322040
61322515520004
7150426561121
oct31344003704
98730284804
103415214020
1114a2887929
127b38b9004
134257219ca
1424580b748
1514ec603ea
hexcb9007c4

3415214020 has 24 divisors (see below), whose sum is σ = 7173785304. Its totient is φ = 1365735936.

The previous prime is 3415214017. The next prime is 3415214057. The reversal of 3415214020 is 204125143.

It can be written as a sum of positive squares in 4 ways, for example, as 317623684 + 3097590336 = 17822^2 + 55656^2 .

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 3415213982 and 3415214000.

It is an unprimeable number.

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, 67054 + ... + 106426.

It is an arithmetic number, because the mean of its divisors is an integer number (298907721).

Almost surely, 23415214020 is an apocalyptic number.

It is an amenable number.

3415214020 is an abundant number, since it is smaller than the sum of its proper divisors (3758571284).

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

3415214020 is a wasteful number, since it uses less digits than its factorization.

3415214020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43719 (or 43717 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 3415214020 is about 58439.8324775149. The cubic root of 3415214020 is about 1505.9341257362.

Adding to 3415214020 its reverse (204125143), we get a palindrome (3619339163).

The spelling of 3415214020 in words is "three billion, four hundred fifteen million, two hundred fourteen thousand, twenty".

Divisors: 1 2 4 5 10 20 4337 8674 17348 21685 39373 43370 78746 86740 157492 196865 393730 787460 170760701 341521402 683042804 853803505 1707607010 3415214020