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34024237056 = 211335910429
BaseRepresentation
bin11111101100000000…
…001010100000000000
310020211012121022211000
4133230000022200000
51024140201041211
623344105252000
72313103146255
oct375400124000
9106735538730
1034024237056
111347a881987
126716794000
133293021664
14190aaab42c
15d4208a656
hex7ec00a800

34024237056 has 192 divisors, whose sum is σ = 102506040000. Its totient is φ = 11148115968.

The previous prime is 34024237043. The next prime is 34024237057. The reversal of 34024237056 is 65073242043.

34024237056 is a `hidden beast` number, since 3 + 40 + 242 + 370 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 34024237056.

It is not an unprimeable number, because it can be changed into a prime (34024237057) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3257250 + ... + 3267678.

It is an arithmetic number, because the mean of its divisors is an integer number (533885625).

Almost surely, 234024237056 is an apocalyptic number.

34024237056 is a gapful number since it is divisible by the number (36) 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 34024237056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51253020000).

34024237056 is an abundant number, since it is smaller than the sum of its proper divisors (68481802944).

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

34024237056 is a wasteful number, since it uses less digits than its factorization.

34024237056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10519 (or 10493 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

Adding to 34024237056 its reverse (65073242043), we get a palindrome (99097479099).

The spelling of 34024237056 in words is "thirty-four billion, twenty-four million, two hundred thirty-seven thousand, fifty-six".