Search a number
-
+
4303968 = 253107419
BaseRepresentation
bin10000011010110001100000
322002122221020
4100122301200
52100211333
6232125440
751404004
oct20326140
98078836
104303968
11247a6a9
121536880
13b79036
14800704
155a03b3
hex41ac60

4303968 has 48 divisors (see below), whose sum is σ = 11430720. Its totient is φ = 1417856.

The previous prime is 4303963. The next prime is 4303969. The reversal of 4303968 is 8693034.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4303963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10063 + ... + 10481.

It is an arithmetic number, because the mean of its divisors is an integer number (238140).

Almost surely, 24303968 is an apocalyptic number.

4303968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4303968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5715360).

4303968 is an abundant number, since it is smaller than the sum of its proper divisors (7126752).

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

4303968 is a wasteful number, since it uses less digits than its factorization.

4303968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 4303968 is about 2074.6006844692. The cubic root of 4303968 is about 162.6633371471.

The spelling of 4303968 in words is "four million, three hundred three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 107 214 321 419 428 642 838 856 1257 1284 1676 1712 2514 2568 3352 3424 5028 5136 6704 10056 10272 13408 20112 40224 44833 89666 134499 179332 268998 358664 537996 717328 1075992 1434656 2151984 4303968