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10454342340 = 2235131011311013
BaseRepresentation
bin10011011110010000…
…01001101011000100
3222222120200121122110
421233020021223010
5132402302423330
64445212501020
7520032305121
oct115710115304
928876617573
1010454342340
114485227152
12203917a770
13ca7b777b0
14712631748
15412c07db0
hex26f209ac4

10454342340 has 192 divisors, whose sum is σ = 32110670592. Its totient is φ = 2525952000.

The previous prime is 10454342323. The next prime is 10454342411. The reversal of 10454342340 is 4324345401.

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 = 10454342298 and 10454342307.

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, 10319674 + ... + 10320686.

It is an arithmetic number, because the mean of its divisors is an integer number (167243076).

Almost surely, 210454342340 is an apocalyptic number.

10454342340 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 10454342340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16055335296).

10454342340 is an abundant number, since it is smaller than the sum of its proper divisors (21656328252).

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

10454342340 is a wasteful number, since it uses less digits than its factorization.

10454342340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270 (or 1268 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 10454342340 its reverse (4324345401), we get a palindrome (14778687741).

The spelling of 10454342340 in words is "ten billion, four hundred fifty-four million, three hundred forty-two thousand, three hundred forty".