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3409309568 = 27731122743
BaseRepresentation
bin1100101100110101…
…1110111110000000
322210121012212111202
43023031132332000
523440240401233
61322145200332
7150325440020
oct31315367600
98717185452
103409309568
11149a514815
127b19300a8
13424435352
14244b11a80
1514e495be8
hexcb35ef80

3409309568 has 64 divisors (see below), whose sum is σ = 8012728320. Its totient is φ = 1413987840.

The previous prime is 3409309549. The next prime is 3409309621. The reversal of 3409309568 is 8659039043.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 33596 + ... + 89147.

It is an arithmetic number, because the mean of its divisors is an integer number (125198880).

Almost surely, 23409309568 is an apocalyptic number.

It is an amenable number.

3409309568 is an abundant number, since it is smaller than the sum of its proper divisors (4603418752).

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

3409309568 is a wasteful number, since it uses less digits than its factorization.

3409309568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122795 (or 122783 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 47.

The square root of 3409309568 is about 58389.2932651184. The cubic root of 3409309568 is about 1505.0657716755.

The spelling of 3409309568 in words is "three billion, four hundred nine million, three hundred nine thousand, five hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 128 217 224 248 434 448 496 868 896 992 1736 1984 3472 3968 6944 13888 27776 122743 245486 490972 859201 981944 1718402 1963888 3436804 3805033 3927776 6873608 7610066 7855552 13747216 15220132 15711104 26635231 27494432 30440264 53270462 54988864 60880528 106540924 109977728 121761056 213081848 243522112 426163696 487044224 852327392 1704654784 3409309568