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10434344420 = 2252917990249
BaseRepresentation
bin10011011011110111…
…10111010111100100
3222221012001121122202
421231323313113210
5132332143010140
64443220114032
7516400315133
oct115573672744
928835047582
1010434344420
114474a08445
122032535918
13ca39952c6
1470db0791a
154110a7915
hex26def75e4

10434344420 has 24 divisors (see below), whose sum is σ = 22667715000. Its totient is φ = 4029815552.

The previous prime is 10434344357. The next prime is 10434344443. The reversal of 10434344420 is 2444343401.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 139806976 + 10294537444 = 11824^2 + 101462^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8994545 + ... + 8995704.

It is an arithmetic number, because the mean of its divisors is an integer number (944488125).

Almost surely, 210434344420 is an apocalyptic number.

10434344420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10434344420 is an abundant number, since it is smaller than the sum of its proper divisors (12233370580).

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

10434344420 is a wasteful number, since it uses less digits than its factorization.

10434344420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17990287 (or 17990285 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 10434344420 its reverse (2444343401), we get a palindrome (12878687821).

The spelling of 10434344420 in words is "ten billion, four hundred thirty-four million, three hundred forty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 17990249 35980498 71960996 89951245 179902490 359804980 521717221 1043434442 2086868884 2608586105 5217172210 10434344420