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3458145636 = 22310114
BaseRepresentation
bin1100111000011111…
…0001110101100100
322221000010000000000
43032013301311210
524040241130021
61331052021300
7151460516151
oct31607616544
98830100000
103458145636
111515040000
12806161830
134315a3a2a
1424b3c5228
151538e0b26
hexce1f1d64

3458145636 has 165 divisors, whose sum is σ = 9985277155. Its totient is φ = 1047922920.

The previous prime is 3458145631. The next prime is 3458145659. The reversal of 3458145636 is 6365418543.

The square root of 3458145636 is 58806.

It is a perfect power (a square), and thus also a powerful number.

3458145636 is a `hidden beast` number, since 3 + 4 + 5 + 8 + 1 + 4 + 5 + 636 = 666.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

Its product of digits (1036800) is a multiple of the sum of its prime divisors (16).

It is a junction number, because it is equal to n+sod(n) for n = 3458145591 and 3458145600.

It is not an unprimeable number, because it can be changed into a prime (3458145631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 54 ways as a sum of consecutive naturals, for example, 314376871 + ... + 314376881.

Almost surely, 23458145636 is an apocalyptic number.

3458145636 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3458145636 is the 58806-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3458145636

3458145636 is an abundant number, since it is smaller than the sum of its proper divisors (6527131519).

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

3458145636 is an frugal number, since it uses more digits than its factorization.

3458145636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 16 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The cubic root of 3458145636 is about 1512.2180807889.

The spelling of 3458145636 in words is "three billion, four hundred fifty-eight million, one hundred forty-five thousand, six hundred thirty-six".