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3304878464 = 27237197163
BaseRepresentation
bin1100010011111100…
…0111000110000000
322112022201012222002
43010333013012000
523232022102324
61303535003132
7144620001116
oct30477070600
98468635862
103304878464
111446577118
127829694a8
134088cc9b4
14234cc9ab6
151452183ae
hexc4fc7180

3304878464 has 128 divisors (see below), whose sum is σ = 7081966080. Its totient is φ = 1532805120.

The previous prime is 3304878463. The next prime is 3304878481. The reversal of 3304878464 is 4648784033.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3304878463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20275247 + ... + 20275409.

It is an arithmetic number, because the mean of its divisors is an integer number (55327860).

Almost surely, 23304878464 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 3304878464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3540983040).

3304878464 is an abundant number, since it is smaller than the sum of its proper divisors (3777087616).

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

3304878464 is a wasteful number, since it uses less digits than its factorization.

3304878464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 47.

The square root of 3304878464 is about 57488.0723628824. The cubic root of 3304878464 is about 1489.5388366073.

The spelling of 3304878464 in words is "three billion, three hundred four million, eight hundred seventy-eight thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 23 32 46 64 71 92 97 128 142 163 184 194 284 326 368 388 568 652 736 776 1136 1304 1472 1552 1633 2231 2272 2608 2944 3104 3266 3749 4462 4544 5216 6208 6532 6887 7498 8924 9088 10432 11573 12416 13064 13774 14996 15811 17848 20864 23146 26128 27548 29992 31622 35696 46292 52256 55096 59984 63244 71392 92584 104512 110192 119968 126488 142784 158401 185168 209024 220384 239936 252976 266179 285568 316802 363653 370336 440768 479872 505952 532358 633604 727306 740672 881536 1011904 1064716 1122581 1267208 1454612 1481344 2023808 2129432 2245162 2534416 2909224 4258864 4490324 5068832 5818448 8517728 8980648 10137664 11636896 17035456 17961296 20275328 23273792 25819363 34070912 35922592 46547584 51638726 71845184 103277452 143690368 206554904 413109808 826219616 1652439232 3304878464