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1343642340 = 223571315409
BaseRepresentation
bin101000000010110…
…0101101011100100
310110122022002210010
41100011211223210
510222433023330
6341154530220
745203525415
oct12005455344
93418262703
101343642340
1162a4a6417
12315b96970
131854a8651
14ca64180c
157ce613b0
hex50165ae4

1343642340 has 48 divisors (see below), whose sum is σ = 3815199360. Its totient is φ = 353256960.

The previous prime is 1343642327. The next prime is 1343642381. The reversal of 1343642340 is 432463431.

1343642340 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×13436423403 (a number of 28 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1343642298 and 1343642307.

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 15 ways as a sum of consecutive naturals, for example, 153445 + ... + 161964.

It is an arithmetic number, because the mean of its divisors is an integer number (79483320).

Almost surely, 21343642340 is an apocalyptic number.

1343642340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1343642340 is an abundant number, since it is smaller than the sum of its proper divisors (2471557020).

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

1343642340 is a wasteful number, since it uses less digits than its factorization.

1343642340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315492 (or 315490 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

The square root of 1343642340 is about 36655.7272469119. The cubic root of 1343642340 is about 1103.4717693258.

The spelling of 1343642340 in words is "one billion, three hundred forty-three million, six hundred forty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 71 142 213 284 355 426 710 852 1065 1420 2130 4260 315409 630818 946227 1261636 1577045 1892454 3154090 3784908 4731135 6308180 9462270 18924540 22394039 44788078 67182117 89576156 111970195 134364234 223940390 268728468 335910585 447880780 671821170 1343642340