Search a number
-
+
34343113032 = 23323171504693
BaseRepresentation
bin11111111111000000…
…100101000101001000
310021122102121220102100
4133333000211011020
51030313314104112
623435500033400
72324024433654
oct377700450510
9107572556370
1034343113032
1113623879148
1267a5532860
1333140cb077
14193b195a64
15d600772dc
hex7ff025148

34343113032 has 48 divisors (see below), whose sum is σ = 93306074940. Its totient is φ = 11411584128.

The previous prime is 34343113027. The next prime is 34343113037. The reversal of 34343113032 is 23031134343.

34343113032 is a `hidden beast` number, since 3 + 4 + 343 + 11 + 303 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (34343113027) and next prime (34343113037).

It can be written as a sum of positive squares in 2 ways, for example, as 32896527876 + 1446585156 = 181374^2 + 38034^2 .

It is a junction number, because it is equal to n+sod(n) for n = 34343112987 and 34343113005.

It is not an unprimeable number, because it can be changed into a prime (34343113037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 729523 + ... + 775170.

Almost surely, 234343113032 is an apocalyptic number.

It is an amenable number.

34343113032 is an abundant number, since it is smaller than the sum of its proper divisors (58962961908).

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

34343113032 is a wasteful number, since it uses less digits than its factorization.

34343113032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1505022 (or 1505015 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 34343113032 its reverse (23031134343), we get a palindrome (57374247375).

It can be divided in two parts, 3434311 and 3032, that added together give a palindrome (3437343).

The spelling of 34343113032 in words is "thirty-four billion, three hundred forty-three million, one hundred thirteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 317 634 951 1268 1902 2536 2853 3804 5706 7608 11412 22824 1504693 3009386 4514079 6018772 9028158 12037544 13542237 18056316 27084474 36112632 54168948 108337896 476987681 953975362 1430963043 1907950724 2861926086 3815901448 4292889129 5723852172 8585778258 11447704344 17171556516 34343113032