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2413340244 = 223473728759
BaseRepresentation
bin1000111111011000…
…1010011001010100
320020012010101110000
42033312022121110
514420303341434
61035250131300
7113543024250
oct21766123124
96205111400
102413340244
1110292a4277
12574280b30
132c5ca99a3
1418c733260
15e1d0db99
hex8fd8a654

2413340244 has 120 divisors (see below), whose sum is σ = 7405354880. Its totient is φ = 670866624.

The previous prime is 2413340243. The next prime is 2413340261. The reversal of 2413340244 is 4420433142.

It is a happy number.

2413340244 is a `hidden beast` number, since 2 + 413 + 3 + 4 + 0 + 244 = 666.

2413340244 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×24133402442 = 11648422266619959072, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2413340243) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 69537 + ... + 98295.

Almost surely, 22413340244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2413340244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3702677440).

2413340244 is an abundant number, since it is smaller than the sum of its proper divisors (4992014636).

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

2413340244 is a wasteful number, since it uses less digits than its factorization.

2413340244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28819 (or 28808 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 2413340244 is about 49125.7594750453. The cubic root of 2413340244 is about 1341.3419844575.

Adding to 2413340244 its reverse (4420433142), we get a palindrome (6833773386).

The spelling of 2413340244 in words is "two billion, four hundred thirteen million, three hundred forty thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 37 42 54 63 74 81 84 108 111 126 148 162 189 222 252 259 324 333 378 444 518 567 666 756 777 999 1036 1134 1332 1554 1998 2268 2331 2997 3108 3996 4662 5994 6993 9324 11988 13986 20979 27972 28759 41958 57518 83916 86277 115036 172554 201313 258831 345108 402626 517662 603939 776493 805252 1035324 1064083 1207878 1552986 1811817 2128166 2329479 2415756 3105972 3192249 3623634 4256332 4658958 5435451 6384498 7247268 7448581 9317916 9576747 10870902 12768996 14897162 16306353 19153494 21741804 22345743 28730241 29794324 32612706 38306988 44691486 57460482 65225412 67037229 86190723 89382972 114920964 134074458 172381446 201111687 268148916 344762892 402223374 603335061 804446748 1206670122 2413340244