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3409442064 = 243371127461
BaseRepresentation
bin1100101100110111…
…1111010100010000
322210121110121021000
43023031333110100
523440304121224
61322152102000
7150326531220
oct31315772420
98717417230
103409442064
11149a5a5316
127b1994900
13424480752
14244b48080
1514e4c00c9
hexcb37f510

3409442064 has 80 divisors (see below), whose sum is σ = 11184423040. Its totient is φ = 974125440.

The previous prime is 3409442063. The next prime is 3409442147. The reversal of 3409442064 is 4602449043.

3409442064 is a `hidden beast` number, since 3 + 409 + 44 + 206 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3409442063) 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 15 ways as a sum of consecutive naturals, for example, 560707 + ... + 566754.

It is an arithmetic number, because the mean of its divisors is an integer number (139805288).

Almost surely, 23409442064 is an apocalyptic number.

It is an amenable number.

3409442064 is an abundant number, since it is smaller than the sum of its proper divisors (7774980976).

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

3409442064 is a wasteful number, since it uses less digits than its factorization.

3409442064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127485 (or 1127473 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 3409442064 is about 58390.4278456666. The cubic root of 3409442064 is about 1505.0852685470.

The spelling of 3409442064 in words is "three billion, four hundred nine million, four hundred forty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 1127461 2254922 3382383 4509844 6764766 7892227 9019688 10147149 13529532 15784454 18039376 20294298 23676681 27059064 30441447 31568908 40588596 47353362 54118128 60882894 63137816 71030043 81177192 94706724 121765788 126275632 142060086 162354384 189413448 213090129 243531576 284120172 378826896 426180258 487063152 568240344 852360516 1136480688 1704721032 3409442064