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3040214256 = 24337339601
BaseRepresentation
bin1011010100110101…
…1111110011110000
321211212200212221000
42311031133303300
522211243324011
61221402202000
7135224252262
oct26515376360
97755625830
103040214256
111320137a72
1270a1b3300
13395b24761
1420bab3b32
1512bd89356
hexb535fcf0

3040214256 has 80 divisors (see below), whose sum is σ = 8739356320. Its totient is φ = 1011916800.

The previous prime is 3040214209. The next prime is 3040214269. The reversal of 3040214256 is 6524120403.

3040214256 is a `hidden beast` number, since 3 + 0 + 402 + 1 + 4 + 256 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 311856 + ... + 321456.

It is an arithmetic number, because the mean of its divisors is an integer number (109241954).

Almost surely, 23040214256 is an apocalyptic number.

3040214256 is a gapful number since it is divisible by the number (36) 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 3040214256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4369678160).

3040214256 is an abundant number, since it is smaller than the sum of its proper divisors (5699142064).

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

3040214256 is a wasteful number, since it uses less digits than its factorization.

3040214256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10351 (or 10339 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 3040214256 is about 55138.1379446205. The cubic root of 3040214256 is about 1448.6653205583.

Adding to 3040214256 its reverse (6524120403), we get a palindrome (9564334659).

The spelling of 3040214256 in words is "three billion, forty million, two hundred fourteen thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 733 1466 2199 2932 4398 5864 6597 8796 9601 11728 13194 17592 19202 19791 26388 28803 35184 38404 39582 52776 57606 76808 79164 86409 105552 115212 153616 158328 172818 230424 259227 316656 345636 460848 518454 691272 1036908 1382544 2073816 4147632 7037533 14075066 21112599 28150132 42225198 56300264 63337797 84450396 112600528 126675594 168900792 190013391 253351188 337801584 380026782 506702376 760053564 1013404752 1520107128 3040214256