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10343034240 = 2735711431627
BaseRepresentation
bin10011010000111111…
…00010110110000000
3222200211020120122020
421220133202312000
5132140304043430
64430155041440
7514211224530
oct115037426600
928624216566
1010343034240
114428411790
122007a40280
13c8aaa4c06
147019394c0
1540806cb10
hex2687e2d80

10343034240 has 512 divisors, whose sum is σ = 42085232640. Its totient is φ = 2097930240.

The previous prime is 10343034223. The next prime is 10343034257. The reversal of 10343034240 is 4243034301.

It is an interprime number because it is at equal distance from previous prime (10343034223) and next prime (10343034257).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10343034240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6356307 + ... + 6357933.

It is an arithmetic number, because the mean of its divisors is an integer number (82197720).

Almost surely, 210343034240 is an apocalyptic number.

10343034240 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 10343034240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21042616320).

10343034240 is an abundant number, since it is smaller than the sum of its proper divisors (31742198400).

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

10343034240 is a wasteful number, since it uses less digits than its factorization.

10343034240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1710 (or 1698 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 10343034240 its reverse (4243034301), we get a palindrome (14586068541).

The spelling of 10343034240 in words is "ten billion, three hundred forty-three million, thirty-four thousand, two hundred forty".