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1343634240 = 2635132331151
BaseRepresentation
bin101000000010110…
…0011101101000000
310110122021200200010
41100011203231000
510222432243430
6341154424520
745203462664
oct12005435500
93418250603
101343634240
1162a4a0323
12315b92140
131854a4a60
14ca63c8a4
157ce5dcb0
hex50163b40

1343634240 has 448 divisors, whose sum is σ = 4981358592. Its totient is φ = 304128000.

The previous prime is 1343634239. The next prime is 1343634241. The reversal of 1343634240 is 424363431.

It is an interprime number because it is at equal distance from previous prime (1343634239) and next prime (1343634241).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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 = 1343634198 and 1343634207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1343634241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8898165 + ... + 8898315.

It is an arithmetic number, because the mean of its divisors is an integer number (11119104).

Almost surely, 21343634240 is an apocalyptic number.

1343634240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1343634240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2490679296).

1343634240 is an abundant number, since it is smaller than the sum of its proper divisors (3637724352).

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

1343634240 is a wasteful number, since it uses less digits than its factorization.

1343634240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 228 counting only the distinct ones).

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

The square root of 1343634240 is about 36655.6167592362. The cubic root of 1343634240 is about 1103.4695519353.

Adding to 1343634240 its reverse (424363431), we get a palindrome (1767997671).

The spelling of 1343634240 in words is "one billion, three hundred forty-three million, six hundred thirty-four thousand, two hundred forty".