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4064404320 = 253252822503
BaseRepresentation
bin1111001001000001…
…1110001101100000
3101111020220010120100
43302100132031200
531310441414240
61511150142400
7202501603164
oct36220361540
911436803510
104064404320
1117a6283139
129551b1a00
134ca081292
142a7b1aca4
1518bc47e30
hexf241e360

4064404320 has 72 divisors (see below), whose sum is σ = 13869784656. Its totient is φ = 1083840768.

The previous prime is 4064404303. The next prime is 4064404321. The reversal of 4064404320 is 234044604.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4064404321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1409812 + ... + 1412691.

It is an arithmetic number, because the mean of its divisors is an integer number (192635898).

Almost surely, 24064404320 is an apocalyptic number.

4064404320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4064404320 is an abundant number, since it is smaller than the sum of its proper divisors (9805380336).

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

4064404320 is a wasteful number, since it uses less digits than its factorization.

4064404320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2822524 (or 2822513 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 4064404320 is about 63752.6808848067. The cubic root of 4064404320 is about 1595.8753553702.

Adding to 4064404320 its reverse (234044604), we get a palindrome (4298448924).

The spelling of 4064404320 in words is "four billion, sixty-four million, four hundred four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 2822503 5645006 8467509 11290012 14112515 16935018 22580024 25402527 28225030 33870036 42337545 45160048 50805054 56450060 67740072 84675090 90320096 101610108 112900120 127012635 135480144 169350180 203220216 225800240 254025270 270960288 338700360 406440432 451600480 508050540 677400720 812880864 1016101080 1354801440 2032202160 4064404320