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10343304400 = 24521113211857
BaseRepresentation
bin10011010001000001…
…00100110011010000
3222200211202022020011
421220200210303100
5132140341220100
64430204524304
7514213431262
oct115040446320
928624668204
1010343304400
114428586760
122007b50694
13c8ab6ab80
147019a9b32
154080c2bba
hex268824cd0

10343304400 has 240 divisors, whose sum is σ = 29366745408. Its totient is φ = 3451392000.

The previous prime is 10343304331. The next prime is 10343304421. The reversal of 10343304400 is 440334301.

It is a super-2 number, since 2×103433044002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12068772 + ... + 12069628.

Almost surely, 210343304400 is an apocalyptic number.

10343304400 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 10343304400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14683372704).

10343304400 is an abundant number, since it is smaller than the sum of its proper divisors (19023441008).

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

10343304400 is a wasteful number, since it uses less digits than its factorization.

10343304400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 10343304400 its reverse (440334301), we get a palindrome (10783638701).

The spelling of 10343304400 in words is "ten billion, three hundred forty-three million, three hundred four thousand, four hundred".