Search a number
-
+
3214482720 = 25356696839
BaseRepresentation
bin1011111110011001…
…0001110100100000
322022000121122022120
42333212101310200
523040401421340
61250545304240
7142441436511
oct27746216440
98260548276
103214482720
1113aa545499
12758635080
133c2c6c8a7
14226cb8a08
1513c30e4d0
hexbf991d20

3214482720 has 48 divisors (see below), whose sum is σ = 10125622080. Its totient is φ = 857195264.

The previous prime is 3214482671. The next prime is 3214482749. The reversal of 3214482720 is 272844123.

It is a happy number.

3214482720 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

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, 3347940 + ... + 3348899.

It is an arithmetic number, because the mean of its divisors is an integer number (210950460).

Almost surely, 23214482720 is an apocalyptic number.

3214482720 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3214482720 is an abundant number, since it is smaller than the sum of its proper divisors (6911139360).

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

3214482720 is a wasteful number, since it uses less digits than its factorization.

3214482720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6696857 (or 6696849 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 3214482720 is about 56696.4083518524. The cubic root of 3214482720 is about 1475.8323705606.

The spelling of 3214482720 in words is "three billion, two hundred fourteen million, four hundred eighty-two thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 6696839 13393678 20090517 26787356 33484195 40181034 53574712 66968390 80362068 100452585 107149424 133936780 160724136 200905170 214298848 267873560 321448272 401810340 535747120 642896544 803620680 1071494240 1607241360 3214482720