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4328240 = 245759131
BaseRepresentation
bin10000100000101100110000
322010220020012
4100200230300
52102000430
6232434052
751534530
oct20405460
98126205
104328240
112496964
121548928
13b870b7
148094c0
155a7695
hex420b30

4328240 has 80 divisors (see below), whose sum is σ = 11784960. Its totient is φ = 1447680.

The previous prime is 4328227. The next prime is 4328249. The reversal of 4328240 is 428234.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×43282402 = 37467322995200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4328249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32975 + ... + 33105.

It is an arithmetic number, because the mean of its divisors is an integer number (147312).

Almost surely, 24328240 is an apocalyptic number.

4328240 is a gapful number since it is divisible by the number (40) 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 4328240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5892480).

4328240 is an abundant number, since it is smaller than the sum of its proper divisors (7456720).

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

4328240 is a wasteful number, since it uses less digits than its factorization.

4328240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 4328240 is about 2080.4422606744. The cubic root of 4328240 is about 162.9685412334.

The spelling of 4328240 in words is "four million, three hundred twenty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 59 70 80 112 118 131 140 236 262 280 295 413 472 524 560 590 655 826 917 944 1048 1180 1310 1652 1834 2065 2096 2360 2620 3304 3668 4130 4585 4720 5240 6608 7336 7729 8260 9170 10480 14672 15458 16520 18340 30916 33040 36680 38645 54103 61832 73360 77290 108206 123664 154580 216412 270515 309160 432824 541030 618320 865648 1082060 2164120 4328240