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23006340 = 22325719312
BaseRepresentation
bin101011111000…
…0110010000100
31121021211202200
41113300302010
521342200330
62141034500
7366356610
oct127606204
947254680
1023006340
1111a94005
127855a30
1349c6926
1430ac340
152046a60
hex15f0c84

23006340 has 216 divisors, whose sum is σ = 86748480. Its totient is φ = 4821120.

The previous prime is 23006339. The next prime is 23006369. The reversal of 23006340 is 4360032.

23006340 is a `hidden beast` number, since 2 + 30 + 0 + 634 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 742125 + ... + 742155.

Almost surely, 223006340 is an apocalyptic number.

23006340 is a gapful number since it is divisible by the number (20) 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 23006340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43374240).

23006340 is an abundant number, since it is smaller than the sum of its proper divisors (63742140).

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

23006340 is a wasteful number, since it uses less digits than its factorization.

23006340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 23006340 is about 4796.4924684607. The cubic root of 23006340 is about 284.4128261884.

Adding to 23006340 its reverse (4360032), we get a palindrome (27366372).

The spelling of 23006340 in words is "twenty-three million, six thousand, three hundred forty".