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4254300240 = 243530615791
BaseRepresentation
bin1111110110010011…
…0111100001010000
3101222111012211210120
43331210313201100
532203100101430
61542052230240
7210265645461
oct37544674120
911874184716
104254300240
111893494813
129a890b380
1352a50b528
142c502cd68
1519d758610
hexfd937850

4254300240 has 80 divisors (see below), whose sum is σ = 13194917376. Its totient is φ = 1133913600.

The previous prime is 4254300233. The next prime is 4254300251. The reversal of 4254300240 is 420034524.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 4254300240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 731745 + ... + 737535.

Almost surely, 24254300240 is an apocalyptic number.

4254300240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4254300240 is an abundant number, since it is smaller than the sum of its proper divisors (8940617136).

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

4254300240 is a wasteful number, since it uses less digits than its factorization.

4254300240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8868 (or 8862 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 4254300240 is about 65224.9970486776. The cubic root of 4254300240 is about 1620.3520344542.

Adding to 4254300240 its reverse (420034524), we get a palindrome (4674334764).

The spelling of 4254300240 in words is "four billion, two hundred fifty-four million, three hundred thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 3061 5791 6122 9183 11582 12244 15305 17373 18366 23164 24488 28955 30610 34746 36732 45915 46328 48976 57910 61220 69492 73464 86865 91830 92656 115820 122440 138984 146928 173730 183660 231640 244880 277968 347460 367320 463280 694920 734640 1389840 17726251 35452502 53178753 70905004 88631255 106357506 141810008 177262510 212715012 265893765 283620016 354525020 425430024 531787530 709050040 850860048 1063575060 1418100080 2127150120 4254300240