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10344143400 = 23352192967467
BaseRepresentation
bin10011010001000111…
…10001101000101000
3222200220022221010020
421220203301220220
5132141100042100
64430234520440
7514223524323
oct115043615050
928626287106
1010344143400
114428aaa048
122008296120
13c8b0a2a16
14701b477ba
154081db5a0
hex2688f1a28

10344143400 has 384 divisors, whose sum is σ = 35515584000. Its totient is φ = 2480163840.

The previous prime is 10344143393. The next prime is 10344143413. The reversal of 10344143400 is 434144301.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22149967 + ... + 22150433.

It is an arithmetic number, because the mean of its divisors is an integer number (92488500).

Almost surely, 210344143400 is an apocalyptic number.

10344143400 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 10344143400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17757792000).

10344143400 is an abundant number, since it is smaller than the sum of its proper divisors (25171440600).

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

10344143400 is a wasteful number, since it uses less digits than its factorization.

10344143400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 10344143400 its reverse (434144301), we get a palindrome (10778287701).

Subtracting from 10344143400 its reverse (434144301), we obtain a palindrome (9909999099).

The spelling of 10344143400 in words is "ten billion, three hundred forty-four million, one hundred forty-three thousand, four hundred".