Search a number
-
+
1224146034 = 23513918121
BaseRepresentation
bin100100011110110…
…1111110001110010
310011022110001200000
41020331233301302
510001340133114
6321245410430
742223032606
oct11075576162
93138401600
101224146034
11578aa9041
122a1b69a16
131667c9a87
14b8817506
1572709e09
hex48f6fc72

1224146034 has 48 divisors (see below), whose sum is σ = 2770491360. Its totient is φ = 405090720.

The previous prime is 1224146009. The next prime is 1224146051. The reversal of 1224146034 is 4306414221.

It is a happy number.

1224146034 is a `hidden beast` number, since 12 + 2 + 41 + 4 + 603 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1224145989 and 1224146007.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58494 + ... + 76614.

It is an arithmetic number, because the mean of its divisors is an integer number (57718570).

Almost surely, 21224146034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1224146034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1385245680).

1224146034 is an abundant number, since it is smaller than the sum of its proper divisors (1546345326).

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

1224146034 is a wasteful number, since it uses less digits than its factorization.

1224146034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18277 (or 18265 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 1224146034 is about 34987.7983588565. The cubic root of 1224146034 is about 1069.7387879564.

The spelling of 1224146034 in words is "one billion, two hundred twenty-four million, one hundred forty-six thousand, thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 139 162 243 278 417 486 834 1251 2502 3753 7506 11259 18121 22518 33777 36242 54363 67554 108726 163089 326178 489267 978534 1467801 2518819 2935602 4403403 5037638 7556457 8806806 15112914 22669371 45338742 68008113 136016226 204024339 408048678 612073017 1224146034