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3294330444 = 22323115711879
BaseRepresentation
bin1100010001011011…
…0111111001001100
322111120212022210200
43010112313321030
523221322033234
61302520533500
7144431226636
oct30426677114
98446768720
103294330444
111440622249
1277b321290
13406678872
14233741a56
15144332d99
hexc45b7e4c

3294330444 has 72 divisors (see below), whose sum is σ = 8606008320. Its totient is φ = 1061445600.

The previous prime is 3294330427. The next prime is 3294330449. The reversal of 3294330444 is 4440334923.

It is a happy number.

It is a super-2 number, since 2×32943304442 = 21705226148530474272, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3294330399 and 3294330408.

It is not an unprimeable number, because it can be changed into a prime (3294330449) 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 23 ways as a sum of consecutive naturals, for example, 1752297 + ... + 1754175.

Almost surely, 23294330444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3294330444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4303004160).

3294330444 is an abundant number, since it is smaller than the sum of its proper divisors (5311677876).

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

3294330444 is a wasteful number, since it uses less digits than its factorization.

3294330444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3491 (or 3486 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The square root of 3294330444 is about 57396.2581010295. The cubic root of 3294330444 is about 1487.9524514376.

The spelling of 3294330444 in words is "three billion, two hundred ninety-four million, three hundred thirty thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 1116 1571 1879 3142 3758 4713 5637 6284 7516 9426 11274 14139 16911 18852 22548 28278 33822 48701 56556 58249 67644 97402 116498 146103 174747 194804 232996 292206 349494 438309 524241 584412 698988 876618 1048482 1753236 2096964 2951909 5903818 8855727 11807636 17711454 26567181 35422908 53134362 91509179 106268724 183018358 274527537 366036716 549055074 823582611 1098110148 1647165222 3294330444