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1343619216 = 24329330689
BaseRepresentation
bin101000000010110…
…0000000010010000
310110122020221001200
41100011200002100
510222431303331
6341154231200
745203401122
oct12005400220
93418227050
101343619216
1162a490005
12315b85500
1318549ac74
14ca637212
157ce595e6
hex50160090

1343619216 has 30 divisors (see below), whose sum is σ = 3760268070. Its totient is φ = 447873024.

The previous prime is 1343619197. The next prime is 1343619217. The reversal of 1343619216 is 6129163431.

1343619216 is a `hidden beast` number, since 1 + 3 + 436 + 1 + 9 + 216 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1217730816 + 125888400 = 34896^2 + 11220^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1343619217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4665201 + ... + 4665488.

It is an arithmetic number, because the mean of its divisors is an integer number (125342269).

Almost surely, 21343619216 is an apocalyptic number.

1343619216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1343619216 is an abundant number, since it is smaller than the sum of its proper divisors (2416648854).

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

1343619216 is a wasteful number, since it uses less digits than its factorization.

1343619216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9330703 (or 9330694 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 1343619216 is about 36655.4118241768. The cubic root of 1343619216 is about 1103.4654390630.

The spelling of 1343619216 in words is "one billion, three hundred forty-three million, six hundred nineteen thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 9330689 18661378 27992067 37322756 55984134 74645512 83976201 111968268 149291024 167952402 223936536 335904804 447873072 671809608 1343619216