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4374240 = 253513701
BaseRepresentation
bin10000101011111011100000
322020020022220
4100223323200
52104433430
6233431040
752115613
oct20537340
98206286
104374240
112518482
12156b480
13ba2010
1481c17a
155b6110
hex42bee0

4374240 has 96 divisors (see below), whose sum is σ = 14859936. Its totient is φ = 1075200.

The previous prime is 4374217. The next prime is 4374247. The reversal of 4374240 is 424734.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 4 + 311 + 74 + 44 + 27 + 411 + 0 .

It is a self number, because there is not a number n which added to its sum of digits gives 4374240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4374247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5890 + ... + 6590.

It is an arithmetic number, because the mean of its divisors is an integer number (154791).

Almost surely, 24374240 is an apocalyptic number.

4374240 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 4374240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7429968).

4374240 is an abundant number, since it is smaller than the sum of its proper divisors (10485696).

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

4374240 is a wasteful number, since it uses less digits than its factorization.

4374240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 24.

The square root of 4374240 is about 2091.4683836960. The cubic root of 4374240 is about 163.5438444452.

Adding to 4374240 its reverse (424734), we get a palindrome (4798974).

The spelling of 4374240 in words is "four million, three hundred seventy-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 416 480 520 624 701 780 1040 1248 1402 1560 2080 2103 2804 3120 3505 4206 5608 6240 7010 8412 9113 10515 11216 14020 16824 18226 21030 22432 27339 28040 33648 36452 42060 45565 54678 56080 67296 72904 84120 91130 109356 112160 136695 145808 168240 182260 218712 273390 291616 336480 364520 437424 546780 729040 874848 1093560 1458080 2187120 4374240