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240534240 = 25353131601
BaseRepresentation
bin11100101011001…
…00001011100000
3121202121101221120
432111210023200
5443034043430
635511252240
75650336002
oct1625441340
9552541846
10240534240
11113858a31
126867a080
133aaaa06b
1423d34372
15161b4610
hexe5642e0

240534240 has 96 divisors (see below), whose sum is σ = 760578336. Its totient is φ = 63897600.

The previous prime is 240534233. The next prime is 240534257. The reversal of 240534240 is 42435042.

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

It is a super-2 number, since 2×2405342402 = 115713441224755200, which contains 22 as substring.

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 240534240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149440 + ... + 151040.

It is an arithmetic number, because the mean of its divisors is an integer number (7922691).

Almost surely, 2240534240 is an apocalyptic number.

240534240 is a gapful number since it is divisible by the number (20) 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 240534240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380289168).

240534240 is an abundant number, since it is smaller than the sum of its proper divisors (520044096).

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

240534240 is a wasteful number, since it uses less digits than its factorization.

240534240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1932 (or 1924 counting only the distinct ones).

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

The square root of 240534240 is about 15509.1663218885. The cubic root of 240534240 is about 621.9072727711.

Adding to 240534240 its reverse (42435042), we get a palindrome (282969282).

The spelling of 240534240 in words is "two hundred forty million, five hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 313 480 626 939 1252 1565 1601 1878 2504 3130 3202 3756 4695 4803 5008 6260 6404 7512 8005 9390 9606 10016 12520 12808 15024 16010 18780 19212 24015 25040 25616 30048 32020 37560 38424 48030 50080 51232 64040 75120 76848 96060 128080 150240 153696 192120 256160 384240 501113 768480 1002226 1503339 2004452 2505565 3006678 4008904 5011130 6013356 7516695 8017808 10022260 12026712 15033390 16035616 20044520 24053424 30066780 40089040 48106848 60133560 80178080 120267120 240534240