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3042414240 = 253523275581
BaseRepresentation
bin1011010101010111…
…1000111010100000
321212000211122201220
42311111320322200
522212324223430
61221521255040
7135252044235
oct26525707240
97760748656
103042414240
1113213aa938
1270aa94480
13396414c18
1420c0c778c
1512c171110
hexb5578ea0

3042414240 has 96 divisors (see below), whose sum is σ = 10000319616. Its totient is φ = 776033280.

The previous prime is 3042414203. The next prime is 3042414241. The reversal of 3042414240 is 424142403.

It is a happy number.

3042414240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 self number, because there is not a number n which added to its sum of digits gives 3042414240.

It is not an unprimeable number, because it can be changed into a prime (3042414241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126751 + ... + 148830.

It is an arithmetic number, because the mean of its divisors is an integer number (104169996).

Almost surely, 23042414240 is an apocalyptic number.

3042414240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3042414240 is an abundant number, since it is smaller than the sum of its proper divisors (6957905376).

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

3042414240 is a wasteful number, since it uses less digits than its factorization.

3042414240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275622 (or 275614 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 3042414240 is about 55158.0840856533. The cubic root of 3042414240 is about 1449.0146678765.

Adding to 3042414240 its reverse (424142403), we get a palindrome (3466556643).

The spelling of 3042414240 in words is "three billion, forty-two million, four hundred fourteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 69 80 92 96 115 120 138 160 184 230 240 276 345 368 460 480 552 690 736 920 1104 1380 1840 2208 2760 3680 5520 11040 275581 551162 826743 1102324 1377905 1653486 2204648 2755810 3306972 4133715 4409296 5511620 6338363 6613944 8267430 8818592 11023240 12676726 13227888 16534860 19015089 22046480 25353452 26455776 31691815 33069720 38030178 44092960 50706904 63383630 66139440 76060356 95075445 101413808 126767260 132278880 152120712 190150890 202827616 253534520 304241424 380301780 507069040 608482848 760603560 1014138080 1521207120 3042414240