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3389180704 = 257134128387
BaseRepresentation
bin1100101000000010…
…1100101100100000
322202012100012220021
43022000230230200
523420112240304
61320145523224
7146662363210
oct31200545440
98665305807
103389180704
11148a116698
127a7043514
13420208390
14242192240
1514c81ba54
hexca02cb20

3389180704 has 96 divisors (see below), whose sum is σ = 8412840576. Its totient is φ = 1308026880.

The previous prime is 3389180699. The next prime is 3389180713. The reversal of 3389180704 is 4070819833.

It is a happy number.

It is a super-2 number, since 2×33891807042 = 22973091688731871232, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105199 + ... + 133585.

It is an arithmetic number, because the mean of its divisors is an integer number (87633756).

Almost surely, 23389180704 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 3389180704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4206420288).

3389180704 is an abundant number, since it is smaller than the sum of its proper divisors (5023659872).

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

3389180704 is a wasteful number, since it uses less digits than its factorization.

3389180704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28458 (or 28450 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The square root of 3389180704 is about 58216.6703273212. The cubic root of 3389180704 is about 1502.0979095196.

The spelling of 3389180704 in words is "three billion, three hundred eighty-nine million, one hundred eighty thousand, seven hundred four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 41 52 56 82 91 104 112 164 182 208 224 287 328 364 416 533 574 656 728 1066 1148 1312 1456 2132 2296 2912 3731 4264 4592 7462 8528 9184 14924 17056 28387 29848 56774 59696 113548 119392 198709 227096 369031 397418 454192 738062 794836 908384 1163867 1476124 1589672 2327734 2583217 2952248 3179344 4655468 5166434 5904496 6358688 8147069 9310936 10332868 11808992 15130271 16294138 18621872 20665736 30260542 32588276 37243744 41331472 60521084 65176552 82662944 105911897 121042168 130353104 211823794 242084336 260706208 423647588 484168672 847295176 1694590352 3389180704