Search a number
-
+
1113345432 = 233319674049
BaseRepresentation
bin100001001011100…
…0100110110011000
32212120221210211000
41002113010312120
54240004023212
6302250505000
736406165023
oct10227046630
92776853730
101113345432
115214aa9a1
12270a35160
131498741a4
14a7c141ba
1567b201dc
hex425c4d98

1113345432 has 128 divisors (see below), whose sum is σ = 3304800000. Its totient is φ = 346249728.

The previous prime is 1113345407. The next prime is 1113345469. The reversal of 1113345432 is 2345433111.

It is a happy number.

1113345432 is a `hidden beast` number, since 1 + 113 + 3 + 4 + 543 + 2 = 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 = 1113345396 and 1113345405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 272944 + ... + 276992.

It is an arithmetic number, because the mean of its divisors is an integer number (25818750).

Almost surely, 21113345432 is an apocalyptic number.

1113345432 is a gapful number since it is divisible by the number (12) 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 1113345432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1652400000).

1113345432 is an abundant number, since it is smaller than the sum of its proper divisors (2191454568).

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

1113345432 is a wasteful number, since it uses less digits than its factorization.

1113345432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4150 (or 4140 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 1113345432 is about 33366.8313149451. The cubic root of 1113345432 is about 1036.4379592631.

Adding to 1113345432 its reverse (2345433111), we get a palindrome (3458778543).

It can be divided in two parts, 11133 and 45432, that added together give a palindrome (56565).

The spelling of 1113345432 in words is "one billion, one hundred thirteen million, three hundred forty-five thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 67 72 76 108 114 134 152 171 201 216 228 268 342 402 456 513 536 603 684 804 1026 1206 1273 1368 1608 1809 2052 2412 2546 3618 3819 4049 4104 4824 5092 7236 7638 8098 10184 11457 12147 14472 15276 16196 22914 24294 30552 32392 34371 36441 45828 48588 68742 72882 76931 91656 97176 109323 137484 145764 153862 218646 230793 271283 274968 291528 307724 437292 461586 542566 615448 692379 813849 874584 923172 1085132 1384758 1627698 1846344 2077137 2170264 2441547 2769516 3255396 4154274 4883094 5154377 5539032 6510792 7324641 8308548 9766188 10308754 14649282 15463131 16617096 19532376 20617508 29298564 30926262 41235016 46389393 58597128 61852524 92778786 123705048 139168179 185557572 278336358 371115144 556672716 1113345432