Search a number
-
+
1114302440 = 235312933067
BaseRepresentation
bin100001001101010…
…1110011111101000
32212122202102120202
41002122232133220
54240230134230
6302323211332
736420262106
oct10232563750
92778672522
101114302440
11521aa3a09
12271216b48
13149b1a974
14a7dc2c76
1567c5da45
hex426ae7e8

1114302440 has 64 divisors (see below), whose sum is σ = 2597736960. Its totient is φ = 429730560.

The previous prime is 1114302403. The next prime is 1114302457. The reversal of 1114302440 is 442034111.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 361787 + ... + 364853.

It is an arithmetic number, because the mean of its divisors is an integer number (40589640).

Almost surely, 21114302440 is an apocalyptic number.

1114302440 is a gapful number since it is divisible by the number (10) 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 1114302440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1298868480).

1114302440 is an abundant number, since it is smaller than the sum of its proper divisors (1483434520).

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

1114302440 is a wasteful number, since it uses less digits than its factorization.

1114302440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3402 (or 3398 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1114302440 is about 33381.1689429834. The cubic root of 1114302440 is about 1036.7348408736.

Adding to 1114302440 its reverse (442034111), we get a palindrome (1556336551).

The spelling of 1114302440 in words is "one billion, one hundred fourteen million, three hundred two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 293 310 586 620 1172 1240 1465 2344 2930 3067 5860 6134 9083 11720 12268 15335 18166 24536 30670 36332 45415 61340 72664 90830 95077 122680 181660 190154 363320 380308 475385 760616 898631 950770 1797262 1901540 3594524 3803080 4493155 7189048 8986310 17972620 27857561 35945240 55715122 111430244 139287805 222860488 278575610 557151220 1114302440