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34402444230 = 235711173723677
BaseRepresentation
bin100000000010100010…
…111010001111000110
310021210120021020112010
4200002202322033012
51030424011203410
623445415435050
72325344644140
oct400242721706
9107716236463
1034402444230
11136543125a0
126801385a86
1333234a279b
141944ddbc90
15d65396c20
hex8028ba3c6

34402444230 has 256 divisors, whose sum is σ = 111945037824. Its totient is φ = 6545940480.

The previous prime is 34402444229. The next prime is 34402444273. The reversal of 34402444230 is 3244420443.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1441152 + ... + 1464828.

It is an arithmetic number, because the mean of its divisors is an integer number (437285304).

Almost surely, 234402444230 is an apocalyptic number.

34402444230 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34402444230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55972518912).

34402444230 is an abundant number, since it is smaller than the sum of its proper divisors (77542593594).

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

34402444230 is a wasteful number, since it uses less digits than its factorization.

34402444230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23759.

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 34402444230 its reverse (3244420443), we get a palindrome (37646864673).

The spelling of 34402444230 in words is "thirty-four billion, four hundred two million, four hundred forty-four thousand, two hundred thirty".