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10342413344 = 254123932983
BaseRepresentation
bin10011010000111010…
…01011010000100000
3222200210002000221002
421220131023100200
5132140124211334
64430133451132
7514203030404
oct115035132040
928623060832
1010342413344
11442802824a
1220077a0aa8
13c8a918413
14701817104
15407e98b7e
hex26874b420

10342413344 has 48 divisors (see below), whose sum is σ = 20946159360. Its totient is φ = 5023818240.

The previous prime is 10342413329. The next prime is 10342413349. The reversal of 10342413344 is 44331424301.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10342413349) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 297077 + ... + 330059.

It is an arithmetic number, because the mean of its divisors is an integer number (436378320).

Almost surely, 210342413344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10342413344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10473079680).

10342413344 is an abundant number, since it is smaller than the sum of its proper divisors (10603746016).

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

10342413344 is a wasteful number, since it uses less digits than its factorization.

10342413344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33273 (or 33265 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 10342413344 its reverse (44331424301), we get a palindrome (54673837645).

The spelling of 10342413344 in words is "ten billion, three hundred forty-two million, four hundred thirteen thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 41 82 164 239 328 478 656 956 1312 1912 3824 7648 9799 19598 32983 39196 65966 78392 131932 156784 263864 313568 527728 1055456 1352303 2704606 5409212 7882937 10818424 15765874 21636848 31531748 43273696 63063496 126126992 252253984 323200417 646400834 1292801668 2585603336 5171206672 10342413344