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234100064 = 251117192971
BaseRepresentation
bin11011111010000…
…01010101100000
3121022111111220202
431331001111200
5434412200224
635121324332
75541550322
oct1575012540
9538444822
10234100064
11110163930
12664966a8
1339666563
142313b612
1515842eae
hexdf41560

234100064 has 192 divisors, whose sum is σ = 587865600. Its totient is φ = 90316800.

The previous prime is 234100043. The next prime is 234100067. The reversal of 234100064 is 460001432.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234100067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3297149 + ... + 3297219.

It is an arithmetic number, because the mean of its divisors is an integer number (3061800).

Almost surely, 2234100064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234100064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293932800).

234100064 is an abundant number, since it is smaller than the sum of its proper divisors (353765536).

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

234100064 is a wasteful number, since it uses less digits than its factorization.

234100064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 234100064 is about 15300.3288853541. The cubic root of 234100064 is about 616.3118396361.

Adding to 234100064 its reverse (460001432), we get a palindrome (694101496).

The spelling of 234100064 in words is "two hundred thirty-four million, one hundred thousand, sixty-four".