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10344110436 = 2232112232672
BaseRepresentation
bin10011010001000111…
…01001100101100100
3222200220021020220100
421220203221211210
5132141043013221
64430234104100
7514223326242
oct115043514544
928626236810
1010344110436
114428a87300
12200827b030
13c8b090a0a
14701b39792
154081d1926
hex2688e9964

10344110436 has 243 divisors, whose sum is σ = 30499814163. Its totient is φ = 2953542240.

The previous prime is 10344110431. The next prime is 10344110489. The reversal of 10344110436 is 63401144301.

The square root of 10344110436 is 101706.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×103441104362 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10344110431) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 154389675 + ... + 154389741.

Almost surely, 210344110436 is an apocalyptic number.

10344110436 is the 101706-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10344110436

10344110436 is an abundant number, since it is smaller than the sum of its proper divisors (20155703727).

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

10344110436 is a wasteful number, since it uses less digits than its factorization.

10344110436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 10344110436 its reverse (63401144301), we get a palindrome (73745254737).

The spelling of 10344110436 in words is "ten billion, three hundred forty-four million, one hundred ten thousand, four hundred thirty-six".