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3404304320 = 26514971399
BaseRepresentation
bin1100101011101001…
…1000111111000000
322210020210120121012
43022322120333000
523433000214240
61321450020052
7150235052324
oct31272307700
98706716535
103404304320
11149770624a
127b0117628
134233a2071
142441ab984
1514dd07b65
hexcae98fc0

3404304320 has 56 divisors (see below), whose sum is σ = 8161020000. Its totient is φ = 1352563712.

The previous prime is 3404304317. The next prime is 3404304341. The reversal of 3404304320 is 234034043.

It is a happy number.

3404304320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11981 + ... + 83379.

It is an arithmetic number, because the mean of its divisors is an integer number (145732500).

Almost surely, 23404304320 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 3404304320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4080510000).

3404304320 is an abundant number, since it is smaller than the sum of its proper divisors (4756715680).

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

3404304320 is a wasteful number, since it uses less digits than its factorization.

3404304320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71565 (or 71555 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 23.

The square root of 3404304320 is about 58346.4165137843. The cubic root of 3404304320 is about 1504.3288759451.

Adding to 3404304320 its reverse (234034043), we get a palindrome (3638338363).

The spelling of 3404304320 in words is "three billion, four hundred four million, three hundred four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 149 160 298 320 596 745 1192 1490 2384 2980 4768 5960 9536 11920 23840 47680 71399 142798 285596 356995 571192 713990 1142384 1427980 2284768 2855960 4569536 5711920 10638451 11423840 21276902 22847680 42553804 53192255 85107608 106384510 170215216 212769020 340430432 425538040 680860864 851076080 1702152160 3404304320