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3364126304 = 257111365311
BaseRepresentation
bin1100100010000100…
…0111111001100000
322200110012022201112
43020201013321200
523342204020204
61313452522452
7146236413260
oct31041077140
98613168645
103364126304
111476a63980
1279a780428
13417c754a6
1423cb0d7a0
1514a51d26e
hexc8847e60

3364126304 has 48 divisors (see below), whose sum is σ = 8257406976. Its totient is φ = 1310697600.

The previous prime is 3364126291. The next prime is 3364126307. The reversal of 3364126304 is 4036214633.

It is a super-2 number, since 2×33641263042 = 22634691578529400832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3364126307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 680192 + ... + 685119.

It is an arithmetic number, because the mean of its divisors is an integer number (172029312).

Almost surely, 23364126304 is an apocalyptic number.

It is an amenable number.

3364126304 is an abundant number, since it is smaller than the sum of its proper divisors (4893280672).

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

3364126304 is a wasteful number, since it uses less digits than its factorization.

3364126304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1365339 (or 1365331 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 32.

The square root of 3364126304 is about 58001.0888173662. The cubic root of 3364126304 is about 1498.3873489331.

The spelling of 3364126304 in words is "three billion, three hundred sixty-four million, one hundred twenty-six thousand, three hundred four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 616 1232 2464 1365311 2730622 5461244 9557177 10922488 15018421 19114354 21844976 30036842 38228708 43689952 60073684 76457416 105128947 120147368 152914832 210257894 240294736 305829664 420515788 480589472 841031576 1682063152 3364126304